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(C) Let the radii of the two cylinders be $r_1 = 2r$ and $r_2 = 3r$,and their heights be $h_1 = 5h$ and $h_2 = 3h$.The volume of a cylinder is given b

Vedclass · Accepted Answer

$20:27$

Vedclass · Answer

(C) Let the radii of the two cylinders be $r_1 = 2r$ and $r_2 = 3r$,and their heights be $h_1 = 5h$ and $h_2 = 3h$.The volume of a cylinder is given by the formula $V = \pi r^2 h$.Therefore,the ratio of their volumes is:$\frac{V_1}{V_2} = \frac{\pi r_1^2 h_1}{\pi r_2^2 h_2} = \frac{\pi (2r)^2 (5h)}{\pi (3r)^2 (3h)}$$\frac{V_1}{V_2} = \frac{4r^2 	imes 5h}{9r^2 	imes 3h} = \frac{20r^2h}{27r^2h} = \frac{20}{27}$Thus,the ratio of their volumes is $20:27$.

The radii of two cylinders are in the ratio of $2:3$ and their heights are in the ratio of $5:3$. The ratio of their volumes is

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