A cone and a hemisphere have equal bases and equal volumes the ratio of their heights is
Volume of a hemisphere = (2/3)πr3
Volume of a right circular cone = (1/3)πr2h
Given, cone and a hemisphere have equal bases and equal volume
Height of a hemisphere is the radius and equal bases implies equal base radius.
(2/3)πr3 = (1/3)πr2h
⇒ r : h = 1 : 2