A solid cylinder of radius r and height h is placed over another cylinder of the same height and radius. The total surface area of the shape so formed is:

(a) 4πrh

(b) 4πrh + 2πr2

(c) πrh + πr2

(d) none of these.

Solution:

Here height of cylinder = 2h

Radius = r

TSA of cylinder = 2πr(h + r)

= 2πr(2h+r)

= 4πrh + 2πr2

Hence option b is the answer.

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