Question

if you are brilliant then answer it

Answer 1

it is possible when both the volume of hemisphere and cone is same and such cases that radius of bowl is equal to radius of cone is equal to height of cone

Answer 2

Let r be radius of hemispherical bowl

let R and H be radius and height of cone

Vol of bowl = 2/3 pie r^3

vol of cone =1/3 pie R^2 H

now Vol of bowl = 2 Vol of Cone

2/3 pie r^3 = 2× 1/3 pie R^2 H


r^3 = R^2 H


As there is hemispherical bowl r is given

So ( r/R)^3 = H/R

So by using this relation radius and height can be determined

If r= R

H = R

So if u take radius of bowl and cone same, then height of cone becomes equal to radius

So using

( r/R)^3 = H/R

Height and radius of cone can be determined