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Question

A circular ground of radius 50 m has to be covered with a waterproof sheet. The same amount of waterproof sheet is also used for making a conical tent. If the base area of the tent is 625π m2, then the height of the tent is____m.


A

90.42

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B

96.8

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C

100.6

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D

88.5

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Solution

The correct option is B

96.8


Let r1 be the radius of the tent.

π r12 = 625 π

r12 = 625

r1 = 25 m

Given that,
π×502=π×r1×l

502=25×l

l=100 m

Slant height is given by

l2=h2+r21

h2=l2r21

putting l=100,

h = 1002252

h = 29375 = 96.82 m.


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