Question

Val measures the diameter of a ball as 14 inches. How many cubic inches of air does this ball hold, to thenearest tenth? Use 3.14 forn.The ball holds aboutcubic inches of air.

Answer 1

we know that

The volume of the sphere is equal to

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

In this problem we have

r=14/2=7 in ----> the radius is half the diameter

pi=3.14

substitute the given values

$\begin{gathered} V=\frac{4}{3}_{}\cdot(3.14)\cdot(7^3) \\ V=1,436.0\text{ in\textasciicircum{}3} \end{gathered}$

answer is 1,436.0 cubic inches