The radii of two cones are in the ratio 2:1, their volumes are equal. Find the ratio of their heights.  Choose the correct answer.
A) 1/4 B) 1/8 C) 2/4 D) 4/1 E) None
Sol.   Let their radii be 2x, x and their heights be h and H respectively. Then,   1/3 * ∏ * (2x)² * h = 1/3 * ∏ * x² * H   or   h/H = 1/4.   1/4nswer 1/4
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The radii of two cones are in the ratio 2:1, their volumes are equal. Find the ratio of their heights.