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Question

The base radius of a cylinder is 123 times its height. The cost of painting its curved surface area at 2 paise/cm2 is Rs. 92.40. Find the volume of the cylinder.

A
80850 cm3
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B
80580 cm3
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C
80508 cm3
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D
800508 cm3
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Solution

The correct option is D 80850 cm3
Let height of cylinder be h and radius be r : Then
r=53h

CSA of cylinder painted =92.400.02=4620cm2

2πrh=46202×227×53×h=4620h2=4620×7×32×22×5

h2=441h=441=21cm,r=53×21=35cm

Volume = πr2h=227×35×35×21=80850cm3

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