Question

A cylinder, a cone and a hemisphere are of the same base and height. compare their volumes

Answer 1

Volume of cone = (1/3)πr2h
Volume of hemisphere = (2/3)πr3  
Volume of cylinder = πr2h 

Given that cone, hemisphere and cylinder have equal base and same height.
That is r = h 
Volume of cone : Volume of hemisphere : Volume of cylinder
= (1/3)πr2h :  (2/3)πr3 : πr2h 
= (1/3)πr3 :  (2/3)πr3 : πr3 
= (1/3) : (2/3) : 1 = 1: 2: 3

Answer 2

same base and height r=h

we know

volume of cylinder = πr^2h

volume of. Cone. = 1/3 πr^2h

volume of. hemisphere = 2/3πr^3

Ratio == πr^3 : 1/3 πr^3 : 2/3πr^3
= 3 : 1 :2


Answer is

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