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The Diameter of a Right Circular Cylinder is 12 M and the Slant Height is 10 M. Find Its Curved Surface Area and the Total Surface Area . - Mathematics

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Question

The diameter of a right circular cylinder is 12 m and the slant height is 10 m. Find its curved surface area and the total surface area . 

Sum
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Solution

Diameter of the cylinder = 12 m ⇒ radius = 6 m

Curved surface area = circumference of the base × height

= `2pir xx h`

= `2 xx 22/7 xx 6 xx 10`

= 377.14 m2

Curved Surface area = 377.14 m2

Total surface area = Curved surface area + (2 × base area)

= `2pirh + 2pir^2`

= `2pir(h + r)`

= `2 xx 22/7 xx 6 xx (10 + 6)`

= `2 xx 22/7 xx 6 xx 16`

= `603.42   "m"^2`

Total Surface area = 603.42 m2

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Chapter 20: Mensuration II - Exercise 20.1

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Frank Mathematics - Part 2 [English] Class 10 ICSE
Chapter 20 Mensuration II
Exercise 20.1 | Q 11
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