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The radius of two circular cylinders are in the ratio 3 : 2 and the ratio of their volumes is 27 : 16. What is the ratio of their heights?
Answer & Solution
Correct Answer:
Option
B
$$\eqalign{
& {r_1}:{r_2} = 3:2 \cr
& {v_1}:{v_2} = 27:16 \cr
& {\text{Height}} \to {h_1}:{h_2} \cr
& \frac{{9 \times {h_1}}}{{4 \times {h_2}}} = \frac{{27}}{{16}} \cr
& \frac{{{h_1}}}{{{h_2}}} = \frac{3}{4} \cr
& {h_1}:{h_2} = 3:4 \cr} $$
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