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Question

A cricket ball of radius r is exactly fitted in a cylindrical tin as shown in the figure below. The ratio of surface areas of cricket ball to the total surface area of the cylindrical tin is

A

1:3

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B

2:3

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C

3:1

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D

3:2

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Solution

The correct option is B 2:3 As the cricket ball is exactly fitted in a cylindrical tin, the height of cylinder (h) will be equal to the diameter (2r) of the ball and radius of ball = radius of cylinder. Therefore, h=2r Ratio of their areas =4πr22πr(r+h)=2rr+h=2rr+2r=23

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