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Question

From a solid cylinder whose height is 4 cm and radius is 3 cm a conical conical cavity of height 4 cm and base radius 3 cm is hollowed out What is the volume of the remaining solid?

A
9πcm3
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B
15πcm3
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C
21πcm3
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D
24πcm3
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Solution

The correct option is D 24πcm3
Given Solid cylinder whose height 4 cm and radius 3 cm
Then volume of cylinder =πr2h=π(3)2(4)=36πsq cm
And cut conical cavity height 4 cm and radius 3 cm
Then volume =13πr2h=13π(3)2(4)=12πsq cm
Then remaining part =36π12π=24πcm2

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