A Circus Tent is Cylindrical to a Height of 5 M and Conical Above It. If Its Diameter is 42 M and Slant Height of the Cone is 53 M, Calculate the Total Area of the Canvas Required. - Mathematics

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Sum

A circus tent is cylindrical to a height of 5 m and conical above it. If its diameter is 42 m and slant height of the cone is 53 m, calculate the total area of the canvas required. 

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Solution

Height of the cylinder = h = 5 m 

Slant height of the cone = I = 53 m 

Diameter = 42 m ⇒ radius = r = 21 m 

Area of the canvas used = Curved surface area of cylinder + curved surface area of cone 

= `2pirh + pirl`

= `(2 xx 22/7 xx 21 xx 5) + (22/7 xx 21 xx 53)`

= 660 + 3498

= 4158 m2

Area of the canvas required = 4158 m2 

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Chapter 20: Mensuration II - Exercise 20.1

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Frank ICSE Class 10 Mathematics Part 2
Chapter 20 Mensuration II
Exercise 20.1 | Q 6

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