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Question

General Aptitude Question on Geometry

The volume of a cylinder having a base radius of 3 cm is 396 cm³. Find its curved surface area (in cm²). (Use π=227\pi = \frac{22}{7}).

A

280

B

301.5

C

264

D

320.6

Answer

301.5

Explanation

Solution

The volume of the cylinder is given by V=πr2hV = \pi r^2 h: 396=227×32×hh=396×722×9=7396 = \frac{22}{7} \times 3^2 \times h \Rightarrow h = \frac{396 \times 7}{22 \times 9} = 7 cm. The curved surface area is CSA=2πrh=2×227×3×7=301.5CSA = 2\pi rh = 2 \times \frac{22}{7} \times 3 \times 7 = 301.5 cm².