# A cone and a hemisphere have equal bases and equal volumes the ratio of their heights isA. 1 : 2B. 2 : 1C. 4 : 1D. : 1

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

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