Question

5.
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 :

• Ratio of their curved surface area is 10 : 9 .

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Given :

• Radii of 2 cylinders are in ratio = 2 : 3

• Ratio of their height = 5 : 3

To Find :

• Ratio of their curved surface area's = ?

SoluTion :

Let us consider that radii be 2x and 3x also, height be 5yand 3y .

So,

★ Ratio of their curved surface area(CSA) :

➝ rh/RH

➝ 2x × 5y / 3x × 3y

➝ 10xy/9xy

➝ 10/9

Therefore, ratio of their curved surface area is 10 : 9 .

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★ Total Surface Area :

➝ Area of base 1 +Area of base 2+

Curved surface area

➝ πr² +πr² + 2πrh = 2πr² + 2πrh

➝ 2πr (r+h).

★ Volume :

➝ πr² h

• Cylinder is a solid geometrical figure with straight parallel sides and a circular or oval cross-section.

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