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vichka [17]
3 years ago
15

A volleyball of radius 13 inches fits exactly in a cylinder with the same radius. inside the container there is empty space not

taken up by the volleyball. what is the volume of that empty space? use 3.14 for ? and round the answer to the nearest cubic inch.
Mathematics
2 answers:
salantis [7]3 years ago
5 0
4599^3 (choice b) is correct
asambeis [7]3 years ago
4 0

Volume of Sphere is V=(4/3)*PI*r^3

The radius of the volleyball is 13 inches

<span>So V=(4/3) * 3.14 * 13^3 =  9198 cubic inches</span>

 

Volume of a cylinder is V=pi * r^2 *h

Since they say the ball fits perfectly

The radius is 13 and the height is 26 ( the diameter of the ball)

So V=3.14 * 13^2 * 26 = 13,797 cubic inches

 

13797 – 9198 = 4,599 cubic inches of empty space


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We have f(0,-3)=9, f(0,3)=9, f\left(-\dfrac32,0\right)=\dfrac{729}4=182.25, and f\left(\dfrac32,0\right)=\dfrac{729}4, so f has a minimum value of 9 and a maximum value of 182.25.

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