A circus tent is cylindrical to a height of 4 m and conical above it. If its diameter is 105 m and its slant height is 80 m, calculate the total area of canvas required. Also, find the total cost of canvas used at Rs 15 per meter if the width is 1.5 m

Home » A circus tent is cylindrical to a height of 4 m and conical above it. If its diameter is 105 m and its slant height is 80 m, calculate the total area of canvas required. Also, find the total cost of canvas used at Rs 15 per meter if the width is 1.5 m

Class 10 | Cylinder, Cone and Sphere (Surface Area and Volume) | Exercise 20F | ICSE | Selina

A circus tent is cylindrical to a height of 4 m and conical above it. If its diameter is 105 m and its slant height is 80 m, calculate the total area of canvas required. Also, find the total cost of canvas used at Rs 15 per meter if the width is 1.5 m

Selina Solutions Concise Class 10 Maths Chapter 20 ex. 20(F) - 3

Radius of the cylindrical part of the tent (r) =105/2 m

Slant height (l) = 80 m

the total curved surface area of the tent

$\begin{array}{*{35}{l}} =\text{ }2\pi r\text{ }h\text{ }+\text{ }\pi rl \\ =\text{ }\left( 2\text{ x }22/7\text{ x }105/2\text{ x }4 \right)\text{ }+\text{ }\left( 22/7\text{ x }105/2\text{ x }80 \right) \\ =\text{ }1320\text{ }+\text{ }13200 \\ =\text{ }14520\text{ }{{m}^{2}} \\ \end{array}$

Width of canvas used = 1.5 m

Length of canvas = 14520/1.5 = 9680 m

Total cost of canvas at the rate of Rs 15 per meter = 9680 x 15 = Rs 145200

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