Question

Find the volume of the sphere with a diameter of 6 inches. Leave the answer in terms of pie.

Answer 1

36π

Explanation:

Volume = 4/3πr³

V=4/3π(3)³

V= 36π

Answer 2

36π in³

Explanation:

The volume of a sphere is:

`\displaystyle{V = (4)/(3)\pi r^3}`

where r represents the radius. We are given the diameter of 6 inches, and a half of a diameter is the radius. Hence, 6/2 = 3 inches which is our radius. Therefore,

`\displaystyle{V = (4)/(3)\pi \cdot 3^3}\\\\\displaystyle{V=4\pi \cdot 3^2}\\\\\displaystyle{V=4\pi \cdot 9}\\\\\displaystyle{V=36 \pi \ \ \text{in}^3}`

Hence, the volume is 36π in³