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Mathematics
20. Surface Area and Volume of a Right Circular Cone
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Q19 of 63 Page 21

A circus tent is cylindrical to a height of 3 metres and conical above it. If its diameter is 105 m and the slant height of the conical portion is 53 m, calculate the length of the canvas 5 m wide to make the required tent.


For cylindrical part, we have


Height( h) = 3 m


Radius (r) = m


∴ Total curved surface area = 2πrh+2πrl


= πr(2h+l) = ×× (6+53) m2= 11×15×59 m2


Hence, length of 5 m wide canvas = m = 1947 m


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17

A conical tent is 10 m high and the radius of its base is 24 m. Find the slant height of the tent. If the cost of 1 m2 canvas is Rs. 70, find the cost of the canvas required to make the tent.

18

A tent is in the form of a right circular cylinder surmounted by a cone. The diameter of cylinder is 24 m. The height of the cylindrical portion is 11 m while the vertex of the cone is 16 m above the ground. Find the area of the canvas required for the tent.

20

The circumference of the base of a 10 m height conical tent is 44 metres. Calculate the length of canvas used in making the tent if width of canvas is 2 m. (Use π=22/7).

21

What length of tarpaulin 3 m wide will be required to make a conical tent of height 8 m and base radius 6 m? Assume that the extra length of material will be required for stitching margins and wastage in cutting is approximately 20 cm. (Use π=3.14).

Questions · 63
20. Surface Area and Volume of a Right Circular Cone
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