FINDING THE VOLUME OF A SPHERE WORKSHEET

Question 1-3 : Find the volume of sphere shown below. Round your answer to the nearest tenth if necessary. Use the approximate of value of π, that is 3.14.

Question 1 :

Question 2 :

Question 3 :

1. Answer :

Step 1 :

Write the formula to find volume of a sphere.

V = 4/3 ·  πr³

Step 2 :

Substitute the given measures.

V ≈ 4/3 · 3.14 · (2.2)³

Simplify.

V ≈ 4/3 · 3.14 · 10.648

V ≈ 44.6

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

2. Answer :

Step 1 :

Write the formula to find volume of a sphere.

V = 4/3 ·  πr³ -----(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 :

Substitute π ≈ 3.14 and r = 21 in (1).

V ≈ 4/3 · 3.14 · 21³

Simplify.

V ≈ 4/3 · 3.14 · 9261

V ≈ 38,772.7

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

3. Answer :

Step 1 :

Write the formula to find volume of a sphere.

V = 4/3 ·  πr³ -----(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

Substitute h  =  12.

12 = 2r

Divide both sides by 2.

12/2 = 2r/2

6 = r

Step 3 :

Substitute π ≈ 3.14 and r = 6 in (1).

V ≈ 4/3 · 3.14 · 6³

Simplify.

V ≈ 4/3 · 3.14 · 216

V ≈ 904.3

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

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