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Question

A right circular cone having a circular base and same radius as that of a given sphere. The volume of the cone is one half of the sphere. The ratio of the altitude of the cone to the radius of its base is:
  1. 11
  2. 12
  3. 23
  4. 21
  5. 54

A
21
B
12
C
11
D
23
E
54
Solution
Verified by Toppr

Let the radius of cone be r and height be h

Volume of right circular cone =13πr2h

Given volume of right circular cone is half of the volume of sphere

13πr2h=12×43πr3

hr=2

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