CTET 2 Math and Science Sep 2014 Paper

Question : 50 of 120

Marks: +1, -0

Four times the area of the curved surface of a cylinder is equal to 6 times the sum of the areas of its bases. If its height is 12 cm, then its volume, in

cm^3

48 π
384 π
546 π
768 π

Validate

Solution:

Area of curved surface

=2πrh

Area of base of cylinder

=πr^2

According to question

⇒4×2πrh=6×πr^{2}

⇒4×2πr×12=6×πr^{2}

r=8cm

Volume of the cylinder

=πr^{2}h=π×8×8×12=768π

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