Question

If the heights of two cylinders are equal and their radii are in the ratio of 7 : 5 then the ratio of their volumes is......

Volume of cylinder = `square`  .......(Formula)

= h₂

`square/r_2 = 7/square`

`(πr^2h_1)/(πr^2h_2) = 49/25`

Answer 1

1. Formula for volume:

Volume of cylinder = \[\boxed{πr^2h}\]

2. Given conditions:

1. Heights are equal:

\[\boxed{h_1} = h_2\]

2. Ratio of radii is 7 : 5:

\[\frac{\boxed{r_1}}{r_2} = \frac{7}{\boxed{5}}\]

3. Ratio of volumes:

`("Volume"_1)/("Volume"_2) = (πr_1^2h_1)/(πr_2^2h_2)`

= `(r_1/r_2)^2 xx (h_1)/(h_2)`

= `(7/5)^2 xx 1`

= `49/25`