# A cone, a hemisphere and a cylinder stand on equal bases and have the same height. Find the ratio of their volumes>

Let r and h be the radius of base and height of the cylinder, cone and hemisphere.

We know that, Height of hemisphere = Radius of the hemisphere

h = r

Volume of cylinder = πr2h = πr2 × r = πr3

Volume of cone =

Volume of hemisphere =

Volume of cone : Volume of hemisphere : Volume of cylinder

Thus, the ratio of their volumes is 1 : 2 : 3.

• 150

1:2:3

• -27

pls explain

• -3

1/3pie r2h / 2/3 pie r3

=pie r2h and pie rwill cut off because (r=h=r)

=1/3 / 2/3

1:2

now, 2/3 pie r/ pie r2 h

= again pie r3 and pie r2 will cut off

hence 2:3

COMPARING BOTH WE GET, 1:2:3....HOPE IT WILL HELP YOU.....

thumbs up plssssssssssss

• -20

hey im sorry only half the answer came

contd.....so, 1/3 / 2/3

i.e 1:2 -------  (1)

now volume of hemisphere / volume of cylinder

2/3 pie r3 / pie r2 h

=2/3 / 1

= 2/3

=2:3 -------(2)

comparing both (1) and (2) we get 1:2:3

• -18
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