Question

A softball has a volume of 1256π cubic inches. Find the radius of the softball.

Answer 1

`\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\ ------\\ V=1256\pi \end{cases}\implies 1256\pi =\cfrac{4\pi r^3}{3} \\\\\\ 1256\pi (3)=4\pi r^3\implies \cfrac{1256\pi (3)}{4\pi }=r^3\implies 942=r^3\implies \sqrt[3]{942}=r`

Answer 2

The radius of the softball is 9.802 inches.

Explanation:

Volume of the sphere is given by:

`(4)/(3)\pi r^3`

Volume of the softball =
`1256\pi`

Radius of softball = r

`1256\pi inche^3=(4)/(3)\pi r^3`

r =9.802 inches

The radius of the softball is 9.802 inches.