Question

A mens basketball has a circumference of 29.5 inches. find the volume of the basketball to the nearest cubic inch. (hint must find the radius first. use the circumference formula

Answer 1

To find the volume of the basketball it is necessary to find the radius of the sphere, you do it by using the formula of the circumference and solving for r:

`\begin{gathered} C=2\pi r \\ r=(C)/(2\pi) \end{gathered}`

Replace for the given value and find the radius:

`\begin{gathered} r=(29.5)/(2\pi) \\ r=4.7 \end{gathered}`

Now, find the volume of the sphere using the following formula and replacing for the value of the radius:

`\begin{gathered} V=(4)/(3)^{}\pi\cdot r^3 \\ V=(4)/(3)\pi(4.7)^3 \\ V=434.89\approx435 \end{gathered}`

The volume of the sphere is 435 in^3.