Question

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

12 cubic inches
362 cubic inches
647 cubic inches
817 cubic inches

Answer 1

The volume of the sphere with a radius of 3 inches is 113.097 cubic inches.

The Breakdown

The volume of a sphere can be calculated using the formula:

V = (4/3) × π × r^3

Where:

V is the volume of the sphere,

π is a mathematical constant approximately equal to 3.14159, and

r is the radius of the sphere.

In this case, the radius of the sphere is given as 3 inches. Plugging this value into the formula, we get:

V = (4/3) × π × 3^3

V = (4/3) × π × 27

V ≈ 113.097

Therefore, the volume of the sphere with a radius of 3 inches is 113.097 cubic inches.

Answer 2

Volume of the sphere= 113.112 cubic inch(Inch ³)

Explanation:

First of all the formula for the volume of a sphere Is given as 4πr³

Already the radius r is already given as 3 inches

While π = 3.142

Volume of the sphere = 4/3πr³

Volume of the sphere = 4/3(3.142)(3)³

Volume of the sphere= 4/3(3.142)(27)

Volume of the sphere= 4/3(84.834)

Volume of the sphere= 339.336/3

Volume of the sphere= 113.112 Inch ³

Volume of the sphere= 113.112 cubic inch