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Question
James is trying to shoot three balls of different sizes consecutively through a hoop with a diameter of 18 inches. The balls have volumes of , and cubic inches. How many of the balls will fit through the hoop?
Solution
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1 of 3Given the volumes of the balls, we find their corresponding diameter length. A ball will fit through the hoop if its diameter is less than 18 inches.
The volume of a sphere (the shape of the ball) is:
where is the radius of the sphere.
So, in. which means that this ball will fit through the hoop.
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