2 Answers

Brent Morrow · Answer 1 · 2018-11-21T16:16:48+0000

Answer: The volume of the basketball is 449.09 in³.

Step-by-step explanation: Given that the diameter of a basketball is 9.50 inches.

We are to find the volume of the basketball.

A basketball is of the shape of a sphere. And the volume of a SPHERE with radius 'r' units is given by

$V=(4)/(3)\pi r^3.$

Here, the diameter of the basketball is 9.50 inches, so the radius of the ball is

$r=(9.50)/(2)=4.75~\textup{inches}.$

Therefore, the volume of the basketball will be

$V\\\\\\=(4)/(3)\pi r^3\\\\\\=(4)/(3)*(22)/(7)* (4.75)^3\\\\\\=(88)/(21)* 107.17\\\\\\=(9430.96)/(21)\\\\=449.09~\textup{in}^3.$

Thus, the volume of the basketball is 449.09 in³.

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