Question

7. What is the ratio of the volume of a cylinder and that of a cone on the same base and
of the same height?​

Answer 1

Answer:

ratio of volume of cone to that of cylinder is 1:3.

Answer 2

Answer:

Volume of cone = (1/3)πr2h

Volume of hemisphere = (2/3)πr3  

Volume of cylinder = πr2h

Given :-the cone, hemisphere and cylinder have equal base and same height

so, the height will become radius [r]

then,

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

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