**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.

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.

**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.

V ≈ 4/3 · 3.14 · 2.2³

Simplify.

V ≈ 4/3 · 3.14 · 10.648

V ≈ 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).

V ≈ 4/3 · 3.14 · 21³

Simplify.

V ≈ 4/3 · 3.14 · 9261

V ≈ 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).

V ≈ 4/3 · 3.14 · 6³

Simplify.

V ≈ 4/3 · 3.14 · 216

V ≈ 904.3

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

After having gone through the stuff given above, we hope that the students would have understood "Finding the volume of a sphere worksheet".

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