The ratio of the radii of two cylinders is 2: | vedclass

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(B) The volume of a cylinder is given by the formula $V = \pi r^2 h$.Let the radii of the two cylinders be $r_1$ and $r_2$,and their heights be $h_1$

Vedclass · Accepted Answer

$20:27$

Vedclass · Answer

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

The ratio of the radii of two cylinders is $2:3$,and the ratio of their heights is $5:3$. The ratio of their volumes will be

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