Question

The radii of two cylinders are in the ratio 2:3 and their heights are in the ratio 3:5. What is the ratio of their curved surface area.

Answer 1

Here is ur answer:



Given - r1 : r2 = 2 : 3 and h1 : h2 = 3 : 5

Solution :-


CSA of cylinder = 2πrh

now ratio:-



$\frac{csa \: of \: 1st \: cylinder}{csa \: of \: 2nd \: cylinder} = \frac{2r1h1\pi}{2r2h2\pi} \\ \\ \frac{csa \: of \: 1st \: cylinder}{csa \: of \: 2nd \: cylinder} = \frac{2 \times 2 \times 3 \times \pi}{2 \times 3 \times 5 \times \pi} \\ \\ \frac{csa \: of \: 1st \: cylinder}{csa \: of \: 2nd \: cylinder} = \frac{6}{15} \\ \\ \frac{csa \: of \: 1st \: cylinder}{csa \: of \: 2nd \: cylinder} = \frac{2}{5}$


Csa of 1st cylinder : Csa of 2nd cylinder = 2 : 5


hope it helps you!
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Answer 2

Answer:

Step-by-step explanation: