Total surface area of a cylinder

Question:

Total surface area of a cylinder of radius h and height r is_______ .

Solution:

 2πh(r+ h)

Given, radius of cylinder = h and height of cylinder = r

...Total surface area of a cylinder = Curved surface area + Area of top surface + Area of base

= 2 x π x Radius x Height + π (Radius)2+ π (Radius)2

= 2πhr+ πh2 + πh2

= 2πrh + 2πh2

= 2πh(r + h)

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