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What is the total surface area of a solid cylinder whose radius is half the radius of a circle of area 154 m² and height is the same as its radius?
Question

What is the total surface area of a solid cylinder whose radius is half the radius of a circle of area 154 m² and height is the same as its radius?

A.

123 m²

B.

312 m²

C.

132 m²

D.

231 m²

Correct option is D


Area of circle = πr2 = 154
22/7 × r^2=154
r = 7 m
radius of cylinder = 7/2 m
TSA = 2πr (r + h)
2 ×22/7 ×7/2 (7/2+7)=231 m^2

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