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

Volume of a hemisphere = (2/3)πr^{3}

Volume of a right circular cone = (1/3)πr^{2}h

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)πr^{3} = (1/3)πr^{2}h

⇒ r : h = 1 : 2

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