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gulaghasi [49]
3 years ago
5

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

Mathematics
2 answers:
jasenka [17]3 years ago
5 0

Answer:

The radius of the softball is 9.802 inches.

Step-by-step explanation:

Volume of the sphere is given by:

\frac{4}{3}\pi r^3

Volume of the softball = 1256\pi

Radius of softball = r

1256\pi inche^3=\frac{4}{3}\pi r^3

r =9.802 inches

The radius of the softball is 9.802 inches.

RSB [31]3 years ago
3 0
\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
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