Question

Find the volume of the sphere shown to the right. Give an answer in terms of and rounded to the nearest cubic unit. 12 in The exact volume is in (Simplify your answer. Type an exact answer in terms of .)

Answer 1

Remember that the formula for the volume of a sphere is:

$V=\frac{4}{3}\pi r^3$

The sphere we're given has a 12" diameter. The radius is 1/2 of the diameter: 6"

Using this and the formula, we get:

$V=\frac{4}{3}\pi(6)^3\rightarrow V=905in^3$

Therefore, the volume (rounded to the nearest cubic unit) is 905 cubic inches.