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 $v =\frac{4}{3} \pi r^{3}$.

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

So plugging into the formula, we have $(\frac{4}{3})(\pi)(6 in.)^{3}$.

Start by simplifying the exponent.

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

So we have $(\frac{4}{3})(216 in^{3})(\pi)$.

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.