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.

Val measures the diameter of a ball as 14 inches How many cubic inches of air does this ball hold to thenearest tenth Use 314 fornThe ball holds aboutcubic inch class=

Respuesta :

we know that

The volume of the sphere is equal to

[tex]V=\frac{4}{3}\cdot\pi\cdot r^3[/tex]

In this problem we have

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

pi=3.14

substitute the given values

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

answer is 1,436.0 cubic inches