Question

find the ratio of the volumes of a cone and of a cylinder whose base diameter and heights are equal

Answer 1

Hi friend✋✋✋✋
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Your answer
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Given that : - A come and a collinear have equal bar diameter and height.

Then, their radii are also equal.

Ratio of their volumes =

$\frac{volume \: of \: cone}{volume \: of \: cylinder} = \frac{ \frac{1}{3} \times \pi \times (r) {}^{2} \times h}{\pi \times (r) {}^{2} \times h} \\ \\ = > \frac{volume \: of \: cone \: }{volume \: of \: cylinder \: } = \frac{1}{3}$
Therefore, the ratio is 1:3.

HOPE IT HELPS

Answer 2

1:3 is required ratio