Question
The heights of two right circular cones are in the ratio 1 : 2 and
theperimeters of their bases are in the ratio 3 : 4. Find the ratio of
their volumes.
The heights of two right circular cones are in the ratio 1 : 2 and
theperimeters of their bases are in the ratio 3 : 4. Find the ratio of
their volumes.
Answer: Option B
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Let the radii of their bases be r and R and their heights be h and 2h respectively.
Then,(2*22/7*r/2*22/7*) = (3/4)
R = (4/3)r
Ratio of volumes = (((1/3)*22/7*r2h)/((1/3)*22/7*(4/3r)2(2h))) = 9 : 32
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