Question

if the radio of two circular cylinder are in the ratio 3:4 and their height are in the ratio 6:5 .find the ratio of their curved surface area​

Answer 1

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Answer 2

Given,

• The radius of two circular cylinder are in the radius 3:4.
• Their height are in the ratio 6:5.

To Find,

• The ratio of their curved surface area.

According to the question,

We know that,

Curved surface area of cylinder = 2πrh

[ For first cylinder ]

• Radius of first cylinder (r1) = 3r

• Height of first cylinder (h1) = 6h

[ For second cylinder ]

• Radius of second cylinder (r2) = 4r

• Height of second cylinder (h2) = 5h

Now,

Ratio = CSA of first cylinder / CSA of second cylinder

↪ Ratio = 2πr1h1 / 2πr2h2

[ Put the values ]

↪ Ratio = 2π(3r)(6h) / 2π(4r)(5h)

↪ Ratio = 18rh / 20rh

↪ Ratio = 18/20

↪ Ratio = 9/10

↪ Ratio = 9 : 10

Therefore,

The ratio of their curved surface area is 9 : 10.