Question

The radii of two cylinders are in the ratio 2:3 and their height are in the ratio 5:
3 calculate the ratio of the curve surface area

Answer 1

$\\ Let \: radius \: of \: first \: cylinder \: be \: 2x \: and \: height \: 5x \\ and \: of \: second \: cylinder \: radius \: be \: 3x \: and \: height \: 3x \\ A.T.Q \\ \\ = \frac {C.S.A \: of \: first \: Cylinder}{C.S.A \: of \: second \: Cylinder} \\ = \frac {2 \pi rh}{2 \pi RH} \\ = \frac {rh}{RH} \\ = \frac {2x \times 5x}{3x \times 3x} \\ = \frac {10}{9} \\ Ratio = 10 : 9$