Question

The radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio
5:3. Calculate the ratio of their curved surface areas.
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Answer 1

Answer:

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Answer 2

$\huge \mathfrak \red { \underline {Bonjour}}$

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According to my knowledge the solution will be :

Give -

The ratio of radius and height of two cylinder.

Radius = 2:3

Height = 5:3

To find -

Curved surface area of the cylinders.

Proof-

Let the radius be 2x and 3x.

Let their height be 5y and 3y.

Let r and h be the radius and height of first cylinder.

Let r1 and h1 be the radius and height of second cylinder.

Ratio of Curved surface area of cylinder =

$\frac{ \frac{r}{h} }{ \frac{ r1}{h1} }$

$= \frac{2x \times 5y }{ 3x \: \times 3y}$

$= \frac{10xy}{9xy}$

$= \frac{10}{9}$

Hence curved surface area of the cylinder is

$= \frac{10}{9}$

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I hope my answer helps you....

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