Question

The radius of a sphere is 3 inches. Which represents the volume of the sphere?

A) 12π cubic inches
B) 36π cubic inches
C) 64π cubic inches
D) 81π cubic inches

Answer 1

Hello! The volume of a sphere is 4/3πr³. The radius is 3. 3³ is 27. 27/1 * 4/3 is 108/3 or 36 in simplest form. When you do that, you're left with 36π. The answer is B: 36π cubic inches.

Answer 2

Answer: B)
`36\pi \text{cubic inches}`

Explanation:

We know that the volume of a sphere is given by :-

`\text{Volume}=(4)/(3)\pi r^3`, where r is radius of the sphere.

Given : The radius of the sphere = 3 inches

Then , the volume of the sphere will be :-

`\text{Volume}=(4)/(3)\pi (3)^3\\\\\Rightarrow\ \text{Volume}=36\pi \text{ cubic inches}`

Hence, the volume of the sphere =
`36\pi \text{ cubic inches}`