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a basketball that has the radius of 7.5 inches has more volume than a volleyball that has a radius of 9.2 centimeters. What ball has the most volume in inches?? (2.54cm = 1inch) PLEASE HELP I LITERALLY HAVE TO FINISH THIS IN 10 MINUTES!!!!!!!!

User Michael Platings
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1 Answer

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29 votes

For this problem, we need to convert the radius of the ball from centimeters to inches.

This is done by dividing the radius by 2.54:


r_(inches)=(9.2)/(2.54)=3.62\text{ inches}

Assuming that both balls are spheres, their volumes are:


\begin{gathered} V_1=(4)/(3)\pi(7.5)^3=1767.15\text{ cubic inches}\\ \\ V_2=(4)/(3)\pi(3.62)^3=198.71\text{ cubic inches} \end{gathered}

The ball with a radius of 7.5 inches has the most volume in cubic inches.

User Timothyqiu
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