a crate of tennis balls measures 25 inches by 25 inches by 15 inches. each tennis ball has a radius of 1.35 inches. How many tennis balls can fit into the crate

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It is given in the question that :

A crate of tennis balls measures 25 inches by 25 inches by 15 inches.

First we have to find the volume of the crate which is

[tex] Volume = 25*25*15 = 9375 inches^3 [/tex]

And the given radius of tennis ball is 1.35 inches .

A tennis ball is in the shape of sphere. And volume of sphere is

[tex] Volume = \frac{4}{3} \pi r^3 [/tex]

Substituting the value of r, we will get

[tex] Volume = \frac{4}{3} * \pi * 1.35^3 = 10.31 inches^3 [/tex]

TO find the number of balls , we have to divide the volume of crate by volume of ball.

That is ,

[tex] = \frac{9375}{10.31} = Approx 910 balls [/tex]

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