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Total surface area of a cylinder of radius h and height r is ______. - Mathematics

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Question

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

Fill in the Blanks

Solution

Total surface area of a cylinder of radius h and height r is 2πh(r + h).

Explanation:

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 × π × Radius × Height + π(Radius)2 + π(Radius)2

= 2πhr + πh2 + πh2

= 2πrh + 2πh2

= 2πh(r + h)

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Chapter 11: Mensuration - Exercise [Page 350]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 11 Mensuration
Exercise | Q 44. | Page 350

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