Question

What is the volume of a sphere with a radius of 6in.

Answer 1

Answer: 288π in³

Step-by-step explanation: To find the volume of a sphere, start with the formula for the volume of a sphere which is
`v =(4)/(3) \pi r^(3)`.

Here, we are given that our sphere has a radius of 6 inches.

So plugging into the formula, we have
`((4)/(3))(\pi)(6 in.)^(3)`.

Start by simplifying the exponent.

(6 in.)³ is equal to 6 inches · 6 inches · 6 inches or 216 in³.

So we have
`((4)/(3))(216 in^(3))(\pi)`.

Notice that we can cross cancel 3 and 216 to 1 and 72.

So we have (4)(72in³)(π) which is equal to 288π in³.

So the volume of the sphere is 288π in³.