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Maths / Surface Area and Volume / Volume of Hemisphere
QUESTION
 

A cone and a hemisphere have equal bases and equal volumes. The ratio of their heights is _________________

OPTIONS
A. 

1 : 3

B. 

3 : 4

C. 

2 : 1

D. 

3 : 2

Right Option : C
EXPLANATION
Explain TypeExplanation Content
Text

Let radius of cone be r and height be h

therefore   Volume of cone  =frac {1}{3} pi r^2h

Volume of the hemisphere  =frac {2}{3} pi r^3

But                                  frac {1}{3}pi r^2 h=frac {2}{3} pi r^3

                                                h=2r

Rightarrow                                           frac {h}{r}=frac {2}{1}

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