The diameter, D, of a sphere is 8.4 mm. Calculate the sphere's volume, V.

Use the value 3.14 for a, and round your answer to the nearest tenth

Answers

Answer 1

Answer:

73.8 cubic mm.

Step-by-step explanation:

The volume of a square V is given by the formula:

[tex]V= \frac{4}{3}\pi r^{2}[/tex] where r is the radius of the sphere.

We also know that the diameter is two times the radius, so in this case if the diameter is 8.4 mm, then the radius is 4.2 mm.

Now we substitute the information in the formula, taking into account that we are going to use the value of 3.14 for [tex]\pi[/tex].

[tex]V= \frac{4}{3}\pi r^{2}\\ V= \frac{4}{3}(3.14)(4.2)^{2} \\V=\frac{(4)(3.14)(17.64)}{3} \\V=\frac{221.55}{3}=73.8528[/tex]

Which rounded to the nearest tenth is 73.8. Thus, the sphere's volume is 73.8 cubic mm.

Answer 2

Answer:

V = 310.2 mm³

Step-by-step explanation:

The formula for volume of a sphere is given as:

V = 4/3 * π * r³

where r is the radius of the sphere.

We are given the diameter in the question. Diameter is twice the radius. So, radius = diameter/2

     radius = 8.4/2

     radius = 4.2 mm

V = 4/3 * π * r³

  = 4/3 * 3.14 * (4.2)³

V = 310.181

V = 310.2 mm³


Related Questions

The following histogram shows the number of items sold at a grocery store at various prices:

Histogram titled Items Sold with Price Range on the x axis and Number of Items Sold on the y axis. Bar 1 is 0 to 2 dollars and 50 cents and has a height of 2. Bar 2 is 2 dollars and 51 cents to 5 dollars and has a height of 0. Bar 3 is 5 dollars and 1 cent to 7 dollars and 50 cents and has a height of 4. Bar 4 is 7 dollars and 51 cents to 10 dollars and has a height of 2.

Which of the following data sets is represented in the histogram?

{0.75, 2.50, 2.51, 5.00, 5.01, 7.50, 7.51, 10.00}
{2.50, 2.50, 7.50, 7.50, 7.50, 7.99, 9.25, 10.00}
{2, 0, 4, 2}
{0.50, 2.00, 5.01, 6.25, 7.45, 7.50, 7.89, 9.99}

Answers

Answer:

The person above is wrong.

The answer is D. {0.50, 2.00, 5.01, 6.25, 7.45, 7.50, 7.89, 9.99}

Step-by-step explanation:

The histogram cannot start from 0.00 if the value of the number is higher than one half, or 0.50.

So, for option D, the number is at 0.50, so it can start.

identify the real part and imaginary part of each number below
8-7i
19i

Answers

Answer:

8-7i     8 is the real part  and -7 is the imaginary part

19i      0 is the real part and 19 is the imaginary part

Step-by-step explanation:

8-7i     8 + (-7) i       the real part is 8 the -7 is the imaginary part

19i       0 + 19i       the real part is 0 the 19 is the imaginary part

The real and imaginary parts of complex numbers 8 - 7i and 19i are given below:

For the complex number 8 - 7i, the real part is 8 and the imaginary part is -7.

For the complex number 19i, the real part is 0 and the imaginary part is 19.

Find LCM (22, 26, 351).

Answers

Answer:

7722

Step-by-step explanation:

LCM(22, 26, 351) = 7722

Which is a true statement about the dot plot? Number of Rolls of a Six-Sided Number Cube to Get an Even Number A dot plot going from 1 to 5. 1 has 4 dots, 2 has 8 dots, 3 has 4 dots, 4 has 2 dots, and 5 has 1 dot.

Answers

Answer:

4 rolls

Step-by-step explanation:

Answer:

I saw some comment it was 4/ d

Step-by-step explanation:

Find The measure of angle BEC

Answers

Answer:

148

Step-by-step explanation:

Answer:116

Step-by-step explanation:

Graph the function and identify the domain and range y= -4 x^2

Answers

Step-by-step explanation:

y=-4x²

if x=0 x=2

y=0 y=16

x=1 x=-2

y=4×1² y=-16

y=4

x=-1

y=-4

aisha and jordan start by making a floor plan for their treehouWhich revision of these two sentences best shows that the coach blowing the whistle happened first?

The referee blew the whistle. The team ran onto the field.


Before the team ran onto the field, the referee blew the whistle.

The referee blew the whistle, but the team ran onto the field.

The referee blew the whistle because the team ran onto the field.

While the team ran onto the field, the referee blew the whistle.se. they decide to build a porch on one side of the treehouse

Answers

Answer: Statements 1 and 2 shows that the coach blowing the whistle happened first.

Step-by-step explanation: The coach blowing the whistle as the first event can be seen only from statements 1 and 2 only.

From statement 1, "the referee blew the whistle" was followed by "the team ran onto the field."

From statement 2, "before the team ran onto the field" shows clearly that one event took place "BEFORE" the one being reported and the one that occurred before this one was "the referee blew the whistle."

Statement 3 which is "the referee blew the whistle, BUT..." indicates that the whistle was meant to prevent the team from from running onto the field. So if the referee blew the whistle, but the team ran onto the field, it means the whistle blowing was not supposed to make them run onto the field.

Statement 4, which states that "the referee blew the whistle BECAUSE the team ran onto the field" indicates that, the reason for blowing the whistle was because the team ran onto the field which clearly shows that the team ran onto the field first before the referee blew the whistle.

Statement 5, "WHILE the team ran onto the field..." clearly shows that both events took place at the same moment, and so the referee blowing the whistle could not have occurred first.

The hollow sphere has a diameter of 6 cm. Which expressions represent the volume of the shaded composite figure? Check all that apply. π(33) – π(1.53) π(9) – π(2.25) 36π – 4.5π 31.5π 40.5π

Answers

Answer:

A ,C,D

Step-by-step explanation:

I just finish edgenunity. so i know its correct √

70% of $56 is (round to the nearest cent)

Answers

Answer:

39.2

Step-by-step explanation:

Answer: 39.20

70% of 56 =  [tex]\frac{70}{100}\\[/tex] x 56

                 = $ 39.20

                 =$ 39.20            (it is already rounded to the nearest cent)

hope it will help you...

Bruce is going to call one person from his contacts at random. He has 25 total contacts. 20 of those are from his neighborhood.

What is p(call a person not from his neighborhood)?

Answers

Answer:

Depends on if you count his parent(s) if not then the answer is 5

Step-by-step explanation:

Answer:

[tex]0.2[/tex]

Step-by-step explanation:

Probability = Number of favorable outcomes / Number of posssible

outcomes

There are [tex]5[/tex] favorable outcomes ( the [tex]25-20 = 5[/tex] people not from his neighborhood).

There are 25 possible outcomes ( the [tex]25[/tex] total contacts).

P (call a person not from his neighborhood) [tex]= \frac{5}{25} = 0.2[/tex]

Carl filed a claim after he rear-ended another car, causing damage to each

car's bumper. Which deductible would he have to pay first, before he receives

a payment from the insurance company?

A. Collision

B. He would not have to pay any deductible because he was not at

fault.

C. Comprehensive

D. Premium

Answers

The deductible would he have to pay first, before he receives a payment

from the insurance company is: Comprehensive.

What is Comprehensive insurance?

Comprehensive insurance can be defined as a insurance coverage that help to cover car expenses when  your car damage as a result of accident or collision.

here, we have,

Brain will need to pay for comprehensive insurance before  he can receive the claim or before the insurance company can pay him for the car damaged claim.

Therefore the correct option is C.

The deductible would he have to pay first, before he receives a payment

from the insurance company is: Comprehensive.

Learn more about Comprehensive insurance here:

brainly.com/question/25256334

#SPJ5

Answer:

collision

Step-by-step explanation:

jus did it.

2x / 3 = 12

HELP WILL GIVE 30 POINTS

Answers

Answe

Standard form:

2

3

x − 12 = 0

Factorization:

2

3

(x − 18) = 0

Solutions:

x = 36

2

= 18        

Step-by-step explanation:

Answer:

yea 18

Standard form:

2

3

x − 12 = 0

Factorization:

2

3

(x − 18) = 0

Answer:

x = 36

2

= 18        

Solve for X ???

A. 2 / 15
B. 20
C. 30
D. / 35

Answers

Answer:

2 sqrt(15)

Step-by-step explanation:

Using the secant tangent formula

(whole secant) x (external part) = (tangent)^2

(5+7) * 5 = x^2

12*5 = x^2

60 = x^2

Taking the square root

sqrt(60) = sqrt(x^2)

sqrt(4*15) = x

2 sqrt(15) =x

The mean of a data set is 30. What is the deviation from the mean of a data point 27 that was part of the data set?
a) 1.5
b) –3
c) 3
d) –1.5

Answers

Answer:

most likely B

Step-by-step explanation:


Which coordinate pair identifies a point in the third quadrant of the coordinate plane?

A) (15, 10)
B) (15, −10)
C) (−15, 10)
D) (−15, −10)

Answers

Answer:

D) (-15, -10)

Step-by-step explanation:

The third quadrant is negative on the x and y side.

Jasmine and Luke used fea part b

Answers

Answer:

ahhhhhhhhhh

Step-by-step explanation:

Which of the following points on the xy-graph is the x-intercept of the equation y= 2x– 8? Hint: plug in first value for x, do order of operations until you get the 2nd value in the coordinate)

Answers

Answer:

Step-by-step explanation:

The x-intercept of the equation y = 2x – 8 will be 4.

What is a linear equation?

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The equation of the line is given below.

y = 2x– 8

Form the x-intercept, substitute the value of y equals zero. Then we have

0 = 2x– 8

2x = 8

x = 4

The x-intercept of the equation y = 2x – 8 will be 4.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

What is the measure of ∠A, to the nearest degree?
17°
33°
57°
73°
A scalene triangle A B C. Side B C is the base. Side A B is labeled as 7 meters. Side A C is labeled as 7 meters. Side B C is labeled as 4 meters.

Answers

Answer:

33

Step-by-step explanation:

The adventure club went on a hike to see a waterfall. To get to the hike, the club members took 6 cars and 8 vans. There were 5 people in each car and 8 people in each van. How many people went on the hike?

Answers

Answer:

94 club members

Step-by-step explanation:

8 x 8 = 64

5 x 6 = 30

64 + 30 = 94

Please help! Look at the image. Will give brainliest and 100 points if these are answered!

Answers

14. A, both credit cards and a check require a signature

16. C, the difference between a surgeon and a pharmacist while working 30 years is $3,467,700 dollars

7. D, Bank Fargo will be more that Bank citizen when the balance is more than $200

7: The statement that is best supported by the information given is option D

14: The option that is applicable to writing a check AND using a credit card is A

16: Based off of the graph, the surgeon would make $3,467,700 (C)

Can someone please help me with my homework number

7.

8.

9.

10

11.

12.

13.

14.

15.

16.

17., and 18.

Answers

Answer:

Below.

Step-by-step explanation:

7. 570

8. 850

9. 820

10. 670

11. 600

12. 700

13. 700

14. 900

15. 301

16. 194

17. 487

18. 539

I hope none of these are wong, stay safe! xx

Find the center and the radius of the circle then graph the circle (x+4)2 +(y-1)2=4

Answers

Answer:

Step-by-step explanation:

hello :

us the standard form :  (x+4)² +(y-1)²=4

the center is : (-4 , 1) and the radius 2

y=3(x-2)(x+1)(x-4) find all the zeros of the function

Answers

Answer:

All of the zeros would be 2, -1 and 4

Step-by-step explanation:

When you set each of the factors equal to zero solve for x. The only one you can't is 3 because [tex]3\neq 0\\[/tex]

Final answer:

The zeroes of the function y = 3(x-2)(x+1)(x-4) are x = 2, x = -1, and x = 4.

Explanation:

The question asks to find all the zeros of the function y = 3(x-2)(x+1)(x-4). A zero of the function is a value of x that makes the function equal to zero. To determine these values, set the function equal to zero and solve for x:

0 = 3(x-2)(x+1)(x-4)

This equation is true when x equals 2, -1, or 4, since any of those values would make at least one of the factors equal to zero, which in turn makes the entire product zero. Therefore, the zeros of the function are x = 2, x = -1, and x = 4.

The temperature rises 2°C each hour from 6:00 a.m. to 3:00 p.m. What is the total change in temperature during this period of time?

Answers

Answer:

18 degrees c

Step-by-step explanation:

9•2=18

Answer:

9 Times 2=18

Step-by-step explanation:

PLEASE ANSWER! WILL GIVE BRAINLIEST!!!

$750 at a 4% annual compound interest rate over a period 4 years

Which of the following statements are true of the data? Check all that apply.
The starting balance of the 3rd year is $811.20.
The interest earned in the 3rd year is $31.20.
The ending balance for the 3rd year is $843.65.
The interest earned in the 4th year is $33.75.
The ending balance for the 4th year is $874.85.

Answers

Answer:

The starting balance of the 3rd year is $811.20.

The ending balance for the 3rd year is $843.65.

The interest earned in the 4th year is $33.75.

Step-by-step explanation:

750 × (1 + 4%)^n

750 × (1.04)^n

750 × 1.04² = 811.2

(End of second year, starting of third year)

750 × 1.04³ = 843.648

In third year: 843.648 - 811.2

= 32.448

750 × 1.04⁴ = 877.39392

During the fourth year:

877.39392 - 843.648

33.74592

Answer:

The starting balance of the 3rd year is $811.20.

The ending balance for the 3rd year is $843.65.

The interest earned in the 4th year is $33.75.

Step-by-step explanation:

I did it on edg.

A first number plus twice a second number is 14. Twice the first number plus the second totals 19. Find the numbers.

Answers

Answer:

first number is 8 second number is 3

1. You weigh six packages and find the weights to be 32, 22, 72, 27, 67, and 10 points
62 ounces. If you include a package that weighs 152 ounces, which will
increase more, the median or the mean?

Answers

Answer:

MEAN INCREASES MORE

Step-by-step explanation:

Sara is training for a marathon. On week one she could only run 4 miles without stopping for a rest. By week four she could run 11 miles. What percent did she increase her running

Answers

Answer:

Step-by-step explanation:

Distance increased =  11 -4 = 6 miles

Percentage =

=[tex]=\frac{7}{4}*100\\\\=7*25\\[/tex]

= 175%

Find values that make the sentence correct 1). 6/8=x/12=x/16

Answers

Answer:

x = 9 and 12

Step-by-step explanation:

6/8 = x/12 = x/16

Simplify

3/4 = x/12 = x/16

Multiply 3/4 by 3/3 (does nothing but changes the number)

9/12 = x/12

x = 9

Multiply 3/4 by 4/4 ( also does nothing)

12/16 = x/16

x = 12

There is no values of X that will make the expression correct

Keith is making a tomato soup recipe that requires 4/5 of a pound of tomatoes but he only has 3/4 of a pound of tomatoes. What fraction of the recipe can Keith make with the amount of tomatoes he has? (I'm lazy...someone help me out?)

Answers

Answer:

15/16 tomato soup

Step-by-step explanation:

his problem can be solved using the principle of proportionality or rule three.

A tomato soup recipe that requires 4/5 of a pound of tomatoes, which means that one unit of tomato soup is produced.

So how many units is produced with the amount of 3/4 of a pound of tomato.

Pound Tomato       Tomato soup 

  4/5                                 1

  3/4                                 x

then x equals:

x = (3/4*1)/(4/5)

x = 0.9375

x =  15/16  tomato soup

Which means that they are that amount of tomato produces 15/16 tomato soup.

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