Find the volume of a right circular cone that has a height of 9.1 m and a base with a circumference of 12.1 m. Round your answer to the nearest tenth of a cubic meter.

Answers

Answer 1

Answer:

[tex]V=35.3\ m^3[/tex]

Step-by-step explanation:

-Given the cone's height is 9.1m and the Circumference is 12.1

#We use the circumference formula to calculate the radius:

[tex]C=2\pi r\\\\12.1=2\pi r\\\\r=\frac{12.1}{2\pi}=\frac{6.05}{\pi}\ cm[/tex]

-The volume of the cone using the radius above can then be calculated as follows:

[tex]V=\pi r^2\frac{h}{3}\\\\=\pi\times(\frac{6.05}{\pi})^2\times \frac{9.1}{3}\\\\\\=35.3\ m^3[/tex]

Hence, the cone's volume is [tex]35.3\ m^3[/tex]


Related Questions

What is the area when radius=2.6in

Answers

Answer:

Hope this helps!

Step-by-step explanation:

Area = π · r2 = 3.14 · 2.62 = 21.24 square inches.

(Fractions)

5/7 − 2/5 =

Answers

Answer:

11/35

Step-by-step explanation:

Please choose brainliest

I need assistance thank u

Answers

Answer: I think the table has the greater rate of change because to find the greater rate of change we have to find the rate of change for both function. So, for this we have to find two points for both and then using the slope formula we have to solve for it.

for the first one: (4,6)(6,9)

9-6/6-4

3/2

For the second function: (4,5)(5,10)

10-5/5-4

5/1

5

so as we see that 3/2 is not greater than 5 so the function 3 has the greater one.

I don't know how to solve the first one. I am sorry but hope this helps you!

(X^3)^3 = x^n
Solve for n

Answers

Answer:

[tex] { ({x}^{3}) }^{3} = {x}^{n} [/tex]

[tex] {x}^{27} = {x}^{n} [/tex]

[tex]n = 27[/tex]

The function f(x) = 2(x - 3)^2 + 9 is graphed in the coordinate plane. Which of the following are true? Select all that apply. *
The graph of the parabola opens downward.
The vertex of the graph is (-3,9).
The axis of symmetry of the graph is x = 3.
The y-intercept of the graph is 9.
The minimum of the function is 9.

Answers

The axis on symmetry is 3 the minimum is 9 and the y intercept it 9 if your teacher is talking about anything greater than or equal to 9 hope this helps god bless

Answer:

-The minimum of the function is 9

-The axis of symmetry of the graph is x=0

Step-by-step explanation:

Naomi owns a food truck that sells tacos and burritos. She sells each taco for $3 and each burrito for $5.25. Naomi must sell a minimum of $470 worth of tacos and burritos each day. Write an inequality that could represent the possible values for the number of tacos sold, tt, and the number of burritos sold, bb, that would satisfy the constraint.

Answers

Answer:

3t+5.25b≥470

Each taco sells for $3, so t tacos will bring in 3t dollars. Each burrito sells for $5.25, so b burritos will bring in 5.25b dollars. Therefore, the total amount of revenue 3t+5.25b must be greater than or equal to $470:

A school bought pens, each costing $1, and pencils, each costing $0.5. The cost of the whole purchase was $220. How many pens and pencils were purchased if there were 80 more pencils than pens?

Answers

Answer:

120 pens and 200 pencils.

Explanation:

You can set a system of two equations.

1. Variables

x: number of pensy: number of pencils

2. Cost

each pen costs $1, then x pens costs: xeach pencil costs $0.5, then y pencil costs: 0.5y

Then, the total cost is: x + 0.5y

The cost of the whole purchase was $ 220, then the first equation is:

          x + 0.5y = 220 ↔ equation (1)

3. There were 80 more pencils than pens

Then:

  pencils  =      80   +   pens

       ↓                               ↓

       y        =      80   +      x        ↔ equation (2)

4. Solve the system

i) Substitute the equation (2) into the equation (1):

x + 0.5(80 + x) = 220

ii) Solve

x + 40 + 0.5x = 2201.5x = 180x = 180/1.5x = 120 pens

iii) Substitute x = 120 into the equation (2)

y = 80 + 120y = 200 pencils

Solution: 120 pens and 200 pencils ← answer

find y ..............

Answers

Answer:

[tex]10\sqrt{2}[/tex]

Step-by-step explanation:

so lets do triangle NML

its a 30 60 triangle so it has a rule (image)

line NL is 2x5 = 10

Now we have that length for triangle NLK

now triangle NLK is a 45 45 triangle what also has a rule (image)

Now using the rule 10[tex]\sqrt{2}[/tex]

20 POINTS What is the radius of this circle?

A) 3.14 inches
B) 4 inches
C) 8 inches
D) 16 inches

Answers

The answer to the question is 4 inches

Answer:

B: 4 inches

Step-by-step explanation:

I got it right on usatestprep!

Hope this helps!

From: Aug1e

What is better buy

120 ounces of milk for $3
Or
600 ounces of milk for $ 13

Answers

120 ounces of milk for $3

Answer:

120 ounces of milk for $3 is a better buy

Step-by-step explanation:

Divide the total number of ounces by the price to find the price per ounce:

120 ÷ 3 = 40 cents per ounce

600 ÷ 13 = 46.15 cents per ounce

How is the total price including sales tax calculated?
a. (purchase price) < (percent sales tax); then added c. (purchase price) < (percent sales taxx); then divided
to original amount
by the original amount
b. (purchase price) (percent sales tax); then d. (purchase price) (percent sales tax); then
subtracted from original amount
multiplied by the original amount
Please select the best answer from the choices provided

Answers

Answer:

Sales tax is calculated by multiplying the cost of a good or service by the appropriate sales tax rate The answer is B  (purchase price) (percent sales tax); then d. (purchase price) (percent sales tax). Hope it helps!:)

If you bought a stock last year for a price of $98, and it has gone down 17% since
then, how much is the stock worth now, to the nearest cent?​

Answers

98 - 0.17(98)

98 - 16.66

81.34

The stock is now worth $81.34.

Hope this helps!! :)

The answer is 81.34 hope it helps

Find the total total surface area of the composite figure below with

r=2.2

l=10.2

h=8.7

Use 3.14 for LaTeX: \piπ.

Round to the nearest hundredth.

Pro tip: don't count the surfaces that are not exposed.

Answers

Given:

The radius of given fig = 2.2 unit

The height of the cylindrical part = 8.7 unit

The slant height of the cone = 10.2 unit

To find the total surface area of the given figure.

Formula

The given figure consists of a cylinder and a cone.

So, the surface area of the fig

[tex]SA = \pi r l+2\pi r h+\pi r^{2}[/tex]

Where, r be the radius

h be the height

l be the slant height

Now,

Putting,

r=2.2, h = 8.7, l=10.2 and π=3.14 we get,

[tex]SA = (3.14)(2.2)(10.2)+2(3.14)(2.2)(8.7)+(3.14)(2.2^{2} )[/tex] sq unit

or, [tex]SA = 70.4616+120.1992+15.1976[/tex] sq unit

or, [tex]SA = 205.8584[/tex] sq unit

or, [tex]SA = 205.86[/tex] sq unit

Hence,

The total surface area of the given figure is 205.86 sq unit.


According to the information presented here, what can you conclude about automobile accidents in your city?
most accidents occur at intersections
most accidents occur on highways
most accidents occur on rural roads
most accidents occur on urban roads

Answers

Answer:

Intersections

It has the highest number out of the four options given

Use the drop-down menu to complete the statement.
Based on the data in the line graph, you can predict
there will likely be
-fewer
-more
-the same number of
In December compared to October

Answers

Fewer because October clearly is higher then where December will be when the time comes.

Answer: fewer

Step-by-step explanation: The data has a positive trend, then a negative. And using common sense, since when do people go to the pool in December unless indoors, even then it is rare. Some questions require common sense too BTW.

solve the equation. use the calculator if you need to, and round the solution to the nearest tenth

0.75p=0.4+100

Answers

Answer:

p=133.866667

Step-by-step explanation:

Let's solve your equation step-by-step.

0.75p=0.4+100

Step 1: Simplify both sides of the equation.

0.75p=0.4+100

0.75p=(0.4+100)(Combine Like Terms)

0.75p=100.4

0.75p=100.4

Step 2: Divide both sides by 0.75.

0.75p/0.75 = 100.4/0.75

p=133.866667

Answer:

p=133.866667

285.7

Step-by-step explanation: trust me bro, no really trust me

Help with any please ! If u do all I’ll mark as brainlest

Answers

Answer:

18. D Similar

19.  D

20.  C 2/3

21. --1/3 (I can't see answer choices)

22.  D 36

23. D 20

24.  7 meters

Step-by-step explanation:

a trucker drove 500 miles in h hours. If the trucker averaged 60 mph, which linear equation could be used to find the number of hours that the trucker drove?

Answers

Step-by-step explanation:

Given that,

Distance covered by a trucker, d = 500 miles

Average speed of the trucker, v = 600 mph

A trucker drove 500 miles in h hours. We need to write the linear equation used to find the number of hours that the trucker drove. Average speed is given by :

[tex]v=\dfrac{d}{t}[/tex]

t is time in hours

[tex]t=\dfrac{d}{v}\\\\t=\dfrac{500\ miles}{60\ mph}[/tex]

If t is h hours,

[tex]h=\dfrac{500\ miles}{60\ mph}\\\\500=60h[/tex]

On solving, h = 5 hours.

Hence, this is the required solution.

between which two perfect squares is the number 15

Answers

The answer is 9 and 16

Answer:

3² and 4²

Step-by-step explanation:

Note

3² = 9 and 4² = 16

Thus 15 is between 3² and 4²

9 < 15 < 16

Graph the line x=-2y-3. Find the
slope and the y-intercept.

Answers

Answer:

the slope is [tex]-\frac{1}{2}[/tex]

the y-intercept is [tex](0,-1.5)[/tex]

Step-by-step explanation:

(the website i used to graph it is called desmos)

After you graph the line, the y-intercept is the point on the line where it passes through the y-axis. On this line, that point is [tex](0,-1.5)[/tex]

To find the slope, an easy way would be to use "rise over run"

Find two points on the line and plug them into this equation: [tex]\frac{y_{1} -y_{2} }{x_{1} -x_{2} }[/tex], for this i used the points [tex](5,-4)[/tex] and [tex](7,-5)[/tex]

[tex]\frac{-4+5}{5-7} = -\frac{1}{2}[/tex]

so the slope is [tex]-\frac{1}{2}[/tex]

CAN SOMEONE PLEASE HELP ME???
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Choose the best definition for function?
A. The inputs of a relation
B. The outputs of a relation
C. The movement of a graph either vertically or horizontally
D. A special relation where every input has only one output
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PLZ HELP! BE HONEST PLZ! :) THANK U!!!

Answers

I think it is D but if it is not I’m sorry

This composite figure has been divided into three rectangles. What is the area of this composite figure

Answers

Given:

A composite shape consisting of three rectangles with different lengths and widths.

To find:

The area of the composite shape.

Solution:

To find the area of the composite shape we must add the areas of all the three rectangles.

The upper rectangle has a length of 8 inches and a width of 4 inches.

The area of a rectangle [tex]= (l)(w).[/tex]

The area of the upper rectangle [tex]=(8)(4)=32[/tex] in².

The middle rectangle has a length of [tex]8-4=4[/tex] inches and a width of [tex]10-4-1.5=4.5[/tex] inches.

The area of the middle rectangle [tex]=(4)(4.5) = 18[/tex] in².

The lower rectangle has a length of 8 inches and a width of 1.5 inches.

The area of the lower rectangle [tex]= (8)(1.5)=12[/tex] in².

The area of the composite shape [tex]= 32+18+12 = 62[/tex] in².

The composite shape has an area of 62 in² which is option 3.

Answer: you have to do 62

Step-by-step explanation:

Which financial item transfers risk from one party to another?

Answers

Answer:

Risk transfer is a risk management and control strategy that involves the contractual shifting of a pure risk from one party to another. One example is the purchase of an insurance policy, by which a specified risk of loss is passed from the policyholder to the insurer.

Step-by-step explanation:

hope this helps!

Chris is making a bowl of punch he has 5 quarts of cranberry juice one and a half gallons of orange juice and 6 pints of pineapple juice how much punch does Khris make

Answers

Answer:

  B.  14 quarts

Step-by-step explanation:

1 quart = 2 pints

1 gallon = 4 quarts = 8 pints

__

Chris's recipe in quarts is ...

  5 quarts cranberry juice

  1 1/2 gal = 6 quarts orange juice

  6 pints = 3 quarts pineapple juice

Then the total number of quarts of juice Chris is making is ...

  5 + 6 + 3 = 14 . . . quarts of punch

If (t+10)+t=t+20, what is the value of t?

Answers

Answer:

t=10

Step-by-step explanation:

(t+10)+t=t+20,

Combine like terms

2t+10 = t+20

Subtract t from each side

2t-t+10 =t-t+20

t+10 =20

Subtract 10 from each side

t+10-10 = 20-10

t = 10

Answer:

t = 10

Step-by-step explanation:

2t+10 = t+20

-t          -t

__________

t + 10 = 20

   -10   -10

_________

t         = 10

CAN SOMEONE PLEASE HELP ME WITH THIS?! ASAP, I WOULD APPRECIATE IT VERY MUCH!

Answers

Answer:

B - 59 degrees

Step-by-step explanation:

In total there is 360 degrees, 131 + 170 = 301, 360 - 301 = 59

Answer:

B

Step-by-step explanation:

131+170=360

301=360

59

Ashley is making cookies for her Easter party. Each batch of cookies mix need 0.4 cups of sugar and each batch can make 16 cookies. If Ashley is making 4 batches of cookies, how much sugar does she need?

Answers

Answer:

1.6 cups

Step-by-step explanation:

Each batch needs 0.4 cups of sugar, and she is making 4 batches. Therefore, we can multiply 0.4 times 4 to find how much sugar is needed.

0.4*4=1.6

So, she needs 1.6 cups of sugar for 4 batches

Answer:

1.6 cups of sugar for four batches of cookies

Jana determined that she is approximately 1.013 10-3 miles tall. How many places, and in

which direction, must you move the decimal to determine her height in standard notation?

Answers

to the left three places

What is the sum of the measures of the exterior angles of this triangle?

Answers

Answer:

17 degrees.

Step-by-step explanation:

Total sum of angles on a triangle always make 180

112+51=163

180-163=17

Find the volume of the rectangular prism shown below. Be sure to include units!
7.5 cm
5.5 cm
22 cm

Answers

Answer:

907.5 cm

Step-by-step explanation:

Multiply them together but next time use a calculator

Answer: 907.5 cm^3

Step-by-step explanation:

Volume is base*width*height, therefore 22*5.5*7.5 is 907.5

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