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A cylinder whose base radius is 3 is ins...


A cylinder whose base radius is 3 is inscribed in a sphere of radius 5. what is the difference between the volume of the sphere annd the volume of the cylinder?

A

88

B

297

C

354

D

448

Text Solution

Verified by Experts

The correct Answer is:
B
The height of the cylinder is 8.
The volume of th sphere `=(4)/(3)pir^(3)=(4)/(3)pi(125)=(500pi)/(3)`
the volume of the cylinder`=pir^(2)h=pi(9)8`
The difference `=(500)/(3)pi-72pi~~523.6-226.7`
`~~297`
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