A cone and a hemisphere have …
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Preeti Dabral 1 year, 6 months ago
Let the radius of base of hemisphere and cone, each be r cm. Let the height of the cone be h cm.
Volume of the cone = {tex}{1\over3}\pi r^2{/tex} hcm3
Volume of the hemisphere = {tex}{2\over3}\pi{/tex}r3 cm3
According to the question, {tex}{1\over3}\pi r^2h={2\over3}\pi r^3{/tex}
{tex}\Rightarrow{/tex} h = 2r
{tex}\Rightarrow{/tex} Height of the cone = 2r cm.
Height of the hemisphere = r cm
{tex}\therefore{/tex} Ratio of their heights = 2r : r = 2 : 1
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