Question

If radii of two cylinders are in ratio 4:3 and their heights are in the ratio 5:6, find the ratio of their curved surfaces.

Answer 1

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ratio of their curved surface will be 10 : 9.
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Answer 2

Answer:

2:3

Step-by-step explanation:

The radii of two cylinders are in ratio 4:3

Their heights are in the ratio 5:6

Let the ratio be x.

So radii are 4x and 3x

Heights are 5x and 6x

Formula of curved surface area of cylinder : $2 \pi r h$

So, the ratio of their curved surfaces:

$\frac{2 \pi (4x) (5x)}{2 \pi(5x) (6x)}$

$\frac{4}{6}$

$\frac{2}{3}$

Hence the ratio of their curved surface area is 2:3