# FINDING THE VOLUME OF A SPHERE WORKSHEET

## About "Finding the volume of a sphere worksheet"

Finding the volume of a sphere worksheet :

Worksheet given in this section is much useful to the students who would like to practice problems on volume of a sphere.

## Finding the volume of a sphere worksheet - Problems

1. Find the volume of the sphere given below. Round your answer to the nearest tenth if necessary. Use the approximate of value of  , that is 3.14.

2. Find the volume of the sphere given below. Round your answer to the nearest tenth if necessary. Use the approximate of value of  , that is 3.14.

3. Find the volume of the sphere given below. Round your answer to the nearest tenth if necessary. Use the approximate of value of  , that is 3.14.

## Finding the volume of a sphere worksheet - Solution

Problem 1 :

Find the volume of the sphere given below. Round your answer to the nearest tenth, if necessary. Use the approximate of value of  , that is 3.14.

Solution :

Step 1 :

Write the formula to find volume of a sphere.

V  =  4/3 · r³

Step 2 :

Substitute the given measures.

≈  4/3 · 3.14 · 2.2³

Simplify.

≈  4/3 · 3.14 · 10.648

≈  44.6

Hence, the volume of the given sphere is about 44.6 cubic cm.

Problem 2 :

Find the volume of the sphere given below. Round your answer to the nearest tenth, if necessary. Use the approximate of value of  , that is 3.14.

Solution :

Step 1 :

Write the formula to find volume of a sphere.

V  =  4/3 · r³ ----- (1)

Step 2 :

To find the volume, we need the radius of the sphere. But, the diameter is given, that is  42 cm. So, find the radius.

r  =  diameter / 2

r  =  42/2

r  =  21

Step 3 :

Plug ∏ ≈  3.14 and r = 21 in (1).

≈  4/3 · 3.14 · 21³

Simplify.

≈  4/3 · 3.14 · 9261

≈  38,772.7

Hence, the volume of the given sphere is about 38,772.7 cubic cm.

Problem 3 :

Find the volume of the sphere given below. Round your answer to the nearest tenth, if necessary. Use the approximate of value of  , that is 3.14.

Solution :

Step 1 :

Write the formula to find volume of a sphere.

V  =  4/3 · r³ ----- (1)

Step 2 :

To find the volume, we need the radius of the sphere. But, the height is given, that is  12 cm.

We know that the height of a sphere equals twice the radius.

That is,

h  =  2r

Plug h = 12.

12  =  2r

Divide both sides by 2.

12/2  =  2r/2

6  =  r

Step 3 :

Plug ∏ ≈  3.14 and r = 6 in (1).

≈  4/3 · 3.14 · 6³

Simplify.

≈  4/3 · 3.14 · 216

≈  904.3

Hence, the volume of the given sphere is about 904.3 cubic cm.

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