The radius of the base and the height of a cylinder are in the ratio of 2 : 3. If its volume is 12936cm3, then the total surface area of the cylinder is
A
3080cm2
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B
3480cm2
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C
4260cm2
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D
4860cm2
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Solution
The correct option is A3080cm2 Since the ratio of the radius and the height is 2:3, we can assume the radius (r) = 2x and the height (h) = 3x
The volume of a cylinder is given by
πr2h=12936cm3
⇒227(2x)2(3x)=12936
⇒x=7
Hence, radius of the base = 2×7=14cm and height of the base = 3×7=21cm