Question

the radii of two cylinder are in the ratio of 3:5 and their height are in the ratio of 2:3 find the ratio of their curved surface area

Answer 1

Solutions :-

Given :
The radii of two cylinder are in the ratio of 3:5
and their height are in the ratio of 2:3

Find the ratio of their curved surface area :-

We know that,
Curved surface area of cylinder = 2πrh

(2 × 22/7 × 3 × 2)/(2 × 22/7 × 5 × 3)
= (3 × 2)/(5 × 3)
= 2/5
= 2 : 5

Hence,
The ratio of their curved surface area = 2 : 5

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✯ @shivamsinghamrajput ✯

Answer 2

$\huge{\bold{\underline{\underline{Hola!!!}}}}$

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•°• Let ratio of the radii of the cylinder be 3x: 5x

•°•. Let the ratio of the heights of the cylinder be 2x:3x

As we know that ,

$\sf{\boxed{Curved \:Surface\:area\:of\:a \: cylinder=2πrh}}$

then,

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

•°•let r2 be the radius and h2 be the height of second cylinder

=>Ratio of curved surface area of cylinders = 2πrh:2πr1h1

$= > \frac{r \: h}{r1h1} \\ \\ = > \frac{r}{r1} \times \frac{h}{h1} \\ \\ = > \frac{2}{3} \times \frac{3}{5} \\ \\ = > \frac{2}{3}$

So, the ratio of their CSA is 2:5

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$\huge{\bold{Thanks}}$✌️