Two cones have their base radii in ratio of 3:1 and the rat the heights as 1-3. Find the ratio of their volumes.
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Let their heights be h and 3h and their radii be 3r and r. <br> Then,
V_(1) = (1)/(3) pi (3r)^(2) xx h and V_(2) = (1)/(3) pi r^(2) xx (3h)
<br>
rArr (V_(1))/(V_(2)) = (3)/(1) rArr V_(1) : V_(2) = 3 : 1
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