A cone and a hemisphere have equal bases and equal volumes. Find the ratio of th

Explanation

Let the radius of base of hemisphere and cone, each be `r` unit.
Let the height of the cone be `h` unit.
Volume of the cone`=1/3pir^2h`
Volume of the hemisphere `=2/3pir^3`
`1/3pir^2h=2/3pir^3`
`h=2r`
Height of the cone` =2r` unit
Height of the hemisphere = Radius of the hemisphere `=r`
Ratio of the heights of cone and hemisphere` =2r:r=2:1`