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A ball has a diameter of 9 in. It consists of 2 parts. The inside is a spherical core with a diameter of 6 in. Surrounding the core is a layer of polyurethane.

What is the volume of the polyurethane?

Use 3.14 to approximate pi and express your answer in hundredths.

in3

User JoshJoe
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2 Answers

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Lads, answer is 268.47 Just took the Quiz.

User Stas Parshin
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This question is basically just asking you to take the volume of the entire ball and subtract the volume of the core (the part that's not polyurethane) to find the volume of the polyurethane.

The formula for the volume of a sphere is
(4)/(3) \pi r^(3) where r = the radius. First, let's find the volume of the whole sphere.


V=(4)/(3) \pi 9^(3)


V=(4)/(3) \pi 729


V=\pi 972

Now let's find the volume of the inner core.


V=(4)/(3) \pi 6^(3)


V=(4)/(3) \pi 216


V=\pi 288

972π - 288π = 684π

Use 3.14 for π and we get 684*3.14 = 2147.76 in³.
User Ranendra
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