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Doctors Medicines MCQs Q&A

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1 Answers

Option 4 : 4

Calculation:

The volume of sphere and all cones will be equal,

Let radius of sphere and cone be r cm.

V sphere = 4/3 π r3     

V cone = 1/3 π r2 h

A.T.Q

r = 1/√2 l, Multiplying by 2 and squaring both sides,

⇒ 4r2 = 2l2

⇒ 4r2 = 2(h2 + r2)

⇒ 2r2 = 2h2

⇒ r = h

∴ V cone = 1/3 π r3

1/3 π r3 = 4/3 π r3

∴ 4 cones can be made out of the sphere.

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