Question 59

The ratio of radii of two right circular cylinders is 2 : 3 and their heights are in the ratio 5 : 4. The ratio of their curved surface area is

Solution

ratio of radii of two right circular cylinders r1, r2 is 2 : 3

heights h1,h2 are in the ratio 5 : 4

curved surface area (C S A) = $$ 2 \pi r h $$

$$ \frac{C S A1}{C S A2} =\frac{2 \pi r1 h1}{2 \pi r2 h2} = \frac{r1 h1}{r2 h2} = \frac{ 2 \times 5}{3 \times 4} = \frac{5}{6} $$

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