The ratio of the volumes of two cylinders is x : y and the ratio of their diameters is a : b, What is the ratio of their heights?
The ratio of their diameters = a : b
The ratio of their radius = a : b
The ratio of the volumes of two cylinders = x : y
$$\pi \times r^2h_1 :Â \pi \times r^2h_2$$ = x :Â y
$$a^2h_1 : b^2h_2$$ = x : y
$$h_1 : h_2 = xb^2 : ya^2$$
$$\therefore$$ The correct answer is option C.
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