Find the total volume of the following composite figure with

h=4.3

and

r=3.9

Use 3.14 for LaTeX: \piπ.

Round to the nearest hundredth.

Find The Total Volume Of The Following Composite Figure With H=4.3andr=3.9Use 3.14 For LaTeX: \pi.Round

Answers

Answer 1

Given:

A composite figure consisting of a cylinder with radius r and height h and a half-sphere with a radius r.

To find:

The total volume of the composite figure.

Solution:

To determine the total volume of the figure, we add the volume of the cylinder and the volume of the half-sphere.

The volume of a cylinder, [tex]V= \pi r^{2} h.[/tex]

The given cylinder has a radius of 3.9 units and a height of 4.3 units. Assume π equals 3.14.

The volume of the cylinder, [tex]V = (3.14)(3.9^{2} )(4.3)= 205.36542[/tex] cubic units.

The volume of a half-sphere, [tex]V= \frac{2}{3} \pi r^{3} .[/tex]

The given half-sphere has a radius of 3.9 units, assume π equals 3.14.

The volume of the half-sphere, [tex]V= \frac{2}{3} (3.14)(3.9^{3} ) = 124.17444[/tex] cubic units.

The total volume of the composite figure [tex]= 205.36542+124.17444=329.53986[/tex] cubic units.

Rounding this off to the nearest hundredth, we get the volume of the cone as 329.54 cubic units.


Related Questions

Hey help me out with my homework thank you. STAY SAFE.

Answers

Answer:

angle A = 166 degrees

Step-by-step explanation:

so first you have to look at the problem and see what type of relationship the angles have. so if you draw it out yourself, it makes it a little easier and you can see that the two angles are corresponding angles, which means theyre both congruent or, equal.

after you find that out you can set up an equation so,

7x + 40 = 3x + 112

you do the math...

4x + 40 = 112

4x = 72

x = 18

but you cant stop here, you have to plug in x to find teh entire angle A

7 (18) + 40 = ?

126 + 40

166

bam.

Describe the shape resulting from the cross section.





A.
parallelogram

C.
rectangle

B.
triangle

D.
circle

Answers

Answer:

Is this all of the info?

Step-by-step explanation:

Answer:

i am still confuse plz give more info

Step-by-step explanation:

Which of the following is the best reason that it might be difficult to predict an individual's future health issues?
a Health issues are determined by environmental factors, which are subject to change.
b. Health issues are determined by a complex interaction of environmental and genetic factors, which is
difficult to predict
C. Health issues are determined by genetic inheritance, which is not fully understood.
d Health issues depend on lifestyle choices, which are not always predictable.

Answers

Answer:

b

Step-by-step explanation:

Answer:

b.

Step-by-step explanation:

Health issues are determined by a complex interaction of environmental and genetic factors, which is difficult to predict.

The circumference of a circle is 18m. Find its diameter, in meters.
quick answers please

Answers

Answer:

5.72957795

Step-by-step explanation:

18/pi

For the expression 6p^2+4p, if p=2, what would the expression be equal to? (p^2 is the same as p*p)

Answers

Answer:

[tex]32[/tex]

Step-by-step explanation:

6p^2+4p, if p=2

[tex]6(2) {}^{2} + 4(2) \\ = 6 \times 4 + 4 \times 2 \\ = 24 + 8 \\ = 32[/tex]

Sort the property that characterizes either a trapezoid or a kite
can have congruent diagonals
Trapezoid
Kite
has one pair of opposite, parallel sides
has congruent adjacent sides
has perpendicular diagonals

Answers

Trapezoid:

•Can have congruent diagonals. •Has one pair of opposite, parallel sides.

Kites:

•Has congruent adjacent sides.

•Has perpendicular diagonals.

Properties of trapezoid and kite are follows

Trapezoid

Can have congruent diagonalsHas one pair of opposite, parallel sides

Kite

Has congruent adjacent sidesHas perpendicular diagonals

What is Trapezoid?

Trapezoids are quadrilaterals that have two parallel sides and two non-parallel sides.

What is Kite?

A kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other.

Here,

Trapezoid

Can have congruent diagonalsHas one pair of opposite, parallel sides

Kite

Has congruent adjacent sidesHas perpendicular diagonals

Hence, the properties of trapezoid and kite are follows

Trapezoid

Can have congruent diagonalsHas one pair of opposite, parallel sides

Kite

Has congruent adjacent sidesHas perpendicular diagonals

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which graph represents a system of equations with one solution

Answers

The graph shows the system of equation has ''No solution.''

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The graph of a system of equation shown in figure.

Now, We have;

The graph of system of equation has two parallel lines.

Hence, The graph shows the system of equation has No solution.

Thus, The graph shows the system of equation has ''No solution.''

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Simon is having a birthday party, and each guest gets a bag of party favors. Each goody bag contains one of 7 different toy cars and one of 3 different toy trucks. Each goody bag also has one of 4 different temporary tattoos. How many different combinations of party favors can there be in a goody bag?

Answers

Answer:

84

Step-by-step explanation:

7*3=21*4=84

7 toy cars multiplied by the combination of 3 toy trucks equals 21 then times that by the 4 temp. tattoos, then you get 84

Work out the size of angle x.

Answers

Answer:

x = 13°

Step-by-step explanation:

x = 180° - 85° - (180° - 98°)

= 180° - 85° - 82°

= 13°

Answer:

x = 13°

Step-by-step explanation:

x = 180° - 85° - (180° - 98°)

= 180° - 85° - 82°

= 13°

PLS HELP I AM TIMED 10 POINTS You are told that a triangle has two equal angles. What type of triangle could it be? Check all of the boxes that apply. acute equilateral isosceles obtuse right scalene

Answers

Answer:

Obtuse, right, isoceles, acute

Step-by-step explanation:

Translate the sentence into an equation.
Four times the sum of a number and 2 equals 5.

Use the variable x for the unknown number.

Answers

The answer is 4 ( x + 2 ) = 5
4•x-2=5 is the answer

What system of equations is shown on the graph below?


On a coordinate plane, a line goes through points (negative 2, 0) and (0, negative 4) and another line goes through (0, negative 2) and (4, 0).

x minus 2 y = negative 4 and 2 x + y = 4
x minus 2 y = 4 and 2 x + y = negative 4
x minus 2 y = negative 2 and 2 x + y = negative 4
x minus 2 y = 2 and 2 x + y = 4

Answers

Answer:

The equation of the line passing through the points (-2,0) and (0,-4)

[tex] \frac{y - y1}{x - x1} = \frac{y2 - y1}{x2 - x1} [/tex]

[tex] \frac{y - 0}{x - ( - 2)} = \frac{ - 4 - 0}{0 - ( - 2)} = \frac{ - 4}{2} = - 2[/tex]

[tex]y = - 2(x + 2) \\ y = - 2x - 4[/tex]

[tex]2x + y = - 4[/tex]

The equation of the line passing through the points (0,-2) and (4,0)

[tex]\frac{y - y1}{x - x1} = \frac{y2 - y1}{x2 - x1} \: [/tex]

[tex] \frac{y - ( - 2)}{x - 0} = \frac{0 - ( - 2)}{4 - 0} [/tex]

[tex] \frac{y + 2}{x} = \frac{1}{2} [/tex]

[tex]x - 2y = 4[/tex]

Option B

x minus 2 y = 4 and 2 x + y = negative 4

The system of equation can be determine by using formula of equation of the line passing through the points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex].

The system equation would be [tex]2x+y=-4[/tex] and [tex]x-2y=4[/tex].

Given:

The given points are [tex](-2,0)[/tex] and [tex](0,-4)[/tex] and for another line [tex](0,-2)[/tex] and [tex](4,0)[/tex].

Find the equation line passing through point [tex](-2,0)[/tex] and [tex](0,-4)[/tex] .

[tex]\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the value in above equation.

[tex]\dfrac{y-0}{x-(-2)}=\dfrac{-4-0}{0-(-2)}\\y=-2(x+2)\\y=-x-4\\2x+y=-4[/tex]

Find the equation line passing through point [tex](0,-2)[/tex] and [tex](4,0)[/tex] .

[tex]\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the value in above equation.

[tex]\dfrac{y-(-2)}{x-0}=\dfrac{0-(-2)}{4-0}\\\\x-2y=4[/tex]

Thus, the system equation would be [tex]2x+y=-4[/tex] and [tex]x-2y=4[/tex].

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Find the common difference: 29, 21, 13, 5, ...
Find

Answers

Answer:

8

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

subtract diffrences

Factor the polynomial below.
χ2 – 5x - 14
(x-5)(x - 14)
- 14)(x + 1)
(x + 70x - 2)
(x+2)(x - 7).

Answers

Answer:

(x + 2)(x - 7)

Step-by-step explanation:

Given

x² - 5x - 14

Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (- 5)

The factors are + 2 and - 7, since

2 × - 7 = - 14 and 2 - 7 = - 5, thus

x² - 5x - 14 = (x + 2)(x - 7)

Tammy is buying a soft toy from a shop. The cost of the toy is 9 dollars and she also has to pay a sales tax that is 15% of the price of the toy. She wants to know the total cost she will have to pay.

Answers

Answer:10.35 dollars

Step-by-step explanation: 15% of 9 dollars is 1.35

so you add 1.35 to 9 dollars to find the total cost

The total cost she will have to pay for the toy is $10.35.

What is the percentage?

A percentage is a figure or ratio that can be stated as a fraction of 100. If we need to calculate the percentage of a number, we must divide it by its full value and then multiply it by 100. As a result, the percentage is one part in one hundred. "Per 100" is short for "per percent." It is represented by the symbol "%".

Given the cost of the toy = $9

sale tax on toy = 15% of the total price

sale tax on toy = 15% of 9

sale tax on toy =  0.15 x 9

sale tax on toy = $1.35

total  cost to pay = $9 + $1.35

total  cost to pay = $10.35

Hence total cost to pay is $10.35.

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Make a the subject of:
v = u + at

Answers

Answer:

[tex]a = \frac{v - u}{t} \: [/tex]

Step-by-step explanation:

[tex]v = u + at[/tex]

[tex]at = v - u[/tex]

[tex]a = \frac{v - u}{t} [/tex]

1.The table represents a linear function. Find the values of a, b, and c. Show your work.

2.Write the equation for the line graphed below.

3.Layla and Sam are both dog sitters. Layla charges $2 per day plus a sign-up fee of $3. Sam charges a flat rate of $3 per day. The system of linear equations below represents y, the total amount earned in dollars for x days of dog sitting.

a)Write the equation to represent Layla’s fees.
b)Write the equation to represent Sam’s fees.
c)After how many days do Layla and Sam earn the same amount for dog sitting?
What is that amount?

PLEASE HELP

Answers

Answer:

1. a= 1

  b=10

   c=9

2.y=1/2x-1

3. a) y=3x + 0

   b) y=2x+3

   c)3

   d) $9

Step-by-step explanation:

1.   The values in the x-axis increase by 2 hence a=3-2=1  and c=7+2=9. For the y-values, they increase by 1.

2. The equation of the line can be written in the slope form of y=mx+c where m is the gradient of the line and c is the y-intercept

Taking points on the line ; (-2,-2) and (2,0) the gradient m is ;

m=Δy/Δx  Δy=0--2=2  Δx=2--2=4   m=2/4⇒1/2

From the graph c= -1

The equation y=1/2x-1

3

(a) Equation representing Layla fees is;

   Taking points (1,3)  and (2,6)  the gradients is

   m=Δy/Δx   (6-3)/(2-1) = 3/1 =3

    Taking m=3, point (1,3) and (x,y) the equation will be;

    m=Δy/Δx

     3=y-3/x-1  

    3(x-1) = y-3

     3x-3 = y-3

     3x-3+3=y

      y=3x + 0 ------equation for Layla line

(b) Equation representing Sam line for fees is

     Taking points (1,5) and (2,7) where c=3

      m=Δy/Δx

      m=7-5/2-1

      m=2/1 =2

     Equation : y=2x+3

c) The point of intersection of the lines which is 3 days

d)The amount is $9

Find the length of side x in simplest radical form with a rational denominator.

Answers

Answer:

2 sqrt(3) =x

Step-by-step explanation:

Since this is a right triangle we can use trig functions

sin theta = opp side/ hypotenuse

sin 60 = x/4

Multiply each side by 4

4 sin 60 =x

We know sin 60  = sqrt(3)/2

4 sqrt(3)/2 =x

2 sqrt(3) =x

Find the radius circumference =62.8mi

Answers

Answer:

r = 10

Step-by-step explanation:

C = 62.8 = 2π·r

62.8 = 2·3.14·r

r = 62.8/2·3.14

= 31.4/3.14

= 10

Answer:

10 miles

Step-by-step explanation:

The circumference of a circle can be found using:

[tex]c=2r\pi[/tex]

We know circumference is 62.8, so we can substitute it in

62.8=[tex]2r\pi[/tex]

We want to find r, so we have to isolate it.

Divide both sides by [tex]2\pi[/tex] or 2*3.14 which is 6.28

62.8=[tex]2r\pi[/tex]

62.8=6.28r

62.8/6.28=6.28r/6.28

r=10

So, the radius is 10 miles

PLS HELP! THIS IS OVERDUE! ''What is the range of possible lengths for the third side of a triangle that has side lengths of 7 and 10?''

Answers

The length has to be greater than the absolute difference between the other two lengths, but less than the sum of them. In other words, if your unknown side length is a, and the other two are b and c, then its |b - c| < a < b + c

So, putting in your values, you have 10 - 7 < a < 10 + 7, which is 3 < a < 17

So, your range is from 3 to 17 (non inclusive).

The length has to be greater than the difference between the named two lengths, but less than the sum of them. So 3-17 is your answer.

26. A footbal player punts a ball. The path of the ball can be modeled by the equation y=--0.004x+
- 25 wherex is the horizontal distance, in feet, the ball travels and y is the height, in feet, of the ball.
How far horizontally from the football player will the ball land? Round to the nearest tenth of a foot

Answers

Answer:

252.5

Step-by-step explanation:

y = -0.004x^2 + x + 2.5

-0.004x^2 + x + 2.5 = 0

x = 25(5+√26) = 252.5

Let me know fi you need any other help:)

I had this problem on my quiz, I dont know what you mean by + -25 but hope this will help

252.5
is your answer.
stay safe and healthy! wash your hands!

PLEASE ANSWER THE RIGHT ANSWER PLEASE DO NOT GUESS. PS, ITS MORE THAN ONE ANSWER. :)
Which statements describe examples of how science and technology benefit society? Check all that apply.

A)The publication of a study confirms the existence of an earthquake fault line.
B)The creation of new oil fracking methods reduces gasoline costs at the pump.
C)The invention of Bluetooth encourages automakers to create hands-free devices.
D)Concerns about health effects from smog are monitored by well-established methods.
E)Emissions of greenhouse gases promote innovative ideas to monitor environmental effects.

Answers

Answer:

B C D E

Step-by-step explanation:

B) The creation of new oil fracking methods reduces gasoline costs at the pump.

C) The invention of Bluetooth encourages automakers to create hands-free devices.

D) Concerns about health effects from smog are monitored by well-established methods.

E) Emissions of greenhouse gases promote innovative ideas to monitor environmental

Richard went to the store to buy some pencils and 2 packs of paper. Perry who went with Richard to the store, spent $30 on a magazine and some candy bars. If the magazine cost $6 and each candy bar cost $3, then how many candy bars did Perry buy?

Answers

Answer:

8

Step-by-step explanation:

$30 - $6 for the magazine = $24 ÷ $3 for one candy bar = 8 candy bars

Answer:

8 candy bars

Step-by-step explanation:

6 + 3x = 30

3x = 24

x = 8

a(1 ) = -2 a(n) = a(n - 1) - 5 Find the 4 ^ (th) term in the sequence .

Answers

Answer:

  -17

Step-by-step explanation:

Each term in the sequence is 5 less than the one before, so the first 4 terms are ...

  -2, -7, -12, -17

The 4th term of the sequence is -17.

__

The general term (an) of the sequence can be written as ...

  an = a1 +d(n -1)

where a1 is the first term and d is the common difference. Here, those are ...

  a1 = -2, d = -5

so the general term is ...

  an = -2 -5(n -1)

We can use this to find the 4th term:

  a4 = -2 -5(4 -3)

  a4 = -17

Solving equations and distributive property

Answers

Answer:

The answer is 10

Step-by-step explanation: You multiply the 2 times twenty to get 40 then multiply the 2 times 2x to get 4x then subtract fourty from both sides and you will get fourty and then divide so 40 divided by 4x equals 10.

Answer:

x=10

Step-by-step explanation:

2x20=40 and 2x2x=4x move the 40 to the other side so 80-40=40 so 4x=40 4x10=40 so 10 should be correct.

hope this helps!

Use a trigonometric ratio to find the value of x. Round your answer to the nearest
tenth.



Answers

Answer:

x = 7.6

Step-by-step explanation:

Label the values you have on the triangle: The X is opposite, the 33 is your theta (ø) and 14 is your hypotenuse

Plug these values into the equation sin(ø)=o/h making the equation sin(33)=x/14.

Take the 14 and multiply it on the opposite side, making the equation look like this: 14xsin(33)=x

Then plug this into the TI-83/84 calculator and make sure it is degree mode (mode, degree)

Then just round to the nearest tenth. :)

If the terminal ray of β lies in the fourth quadrant and sin (β) = -√3/3 determine cos(β) in simplest form.

Answers

Answer:

[tex]cos(\beta)=\frac{\sqrt{6}}{3}}[/tex]

Step-by-step explanation:

we know that

If the terminal ray of β lies in the fourth quadrant

then

sin (β) is negative and cos (β) is positive

Remember the trigonometric identity

[tex]sin^2(\beta)+cos^2(\beta)=1[/tex]

we have

[tex]sin(\beta)=-\frac{\sqrt{3}}{3}[/tex]

substitute

[tex](-\frac{\sqrt{3}}{3})^2+cos^2(\beta)=1[/tex]

[tex]\frac{3}{9}+cos^2(\beta)=1[/tex]

[tex]cos^2(\beta)=1-\frac{3}{9}[/tex]

[tex]cos^2(\beta)=\frac{6}{9}[/tex]

apply root square both sides

[tex]cos(\beta)=\frac{\sqrt{6}}{3}}[/tex]

The system of equations(In attachment) has
A) One Solution
B) Infinitely Many Solutions
C) No Solutions

Answers

Answer:

4x - 6 = 4x + 4

-6 not equal to 4

Therefore, the answer is c

No Solutions

Step-by-step explanation:

Adrian cuts a block of wood as shown. What is the volume of the block of wood?

Answers

Answer:

432

Step-by-step explanation:

Volume of cuboid:

12 x 4.5 x 5.5 = 297

volume of traingular prism:

(12x5)/2 x 4.5 =135

add them together:

135+297 =432

hope this helps!

So, the required volume of the given wooden block is 432 cubic cm.

The volume of the rectangular and triangular prism:

The formula for the volume of the rectangular prism is,

[tex]v=l\times b \times h[/tex]

And the formula for the volume of the triangular prism is,

[tex]v=\frac{1}{2} \times b \times h[/tex]

It is given that,

The volume of the wood is equal to the volume of the rectangular prism and triangular prism.

So, by using the above formula we can write as,

The volume of the wood is,

= volume of the wood is equal to the volume of the rectangular prism + triangular prism.

[tex]=l\times b\times h+\frac{1}{2}\times h\times l\\ =12\times 4.5 \times 5.5 +\frac{1}{2} \times 12\times 4.5 \times 5\\=297+135\\=432 cm^3[/tex]

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Tom deposits $300 into an account that pays simple interest at a rate of 4% per year. How much interest will he be paid in the first 6 years?

Answers

Answer:

22.90 is the answer i can't write somet

use my computer has problems

I = P*r*t = 800*0.06*2 =

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