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Q : 8    A bus stop is barricaded from the remaining part of the road, by using 50 hollow cones made of recycled cardboard. Each cone has a base diameter of 40 cm and height 1 m. If the outer side of each of the cones is to be painted and the cost of painting is Rs 12 per , what will be the cost of painting all these cones? (Use and take )

Given, hollow cone. The base diameter of the cone =  Height of the cone =   Slant height =  We know, Curved surface area of a cone =  The curved surface area of 1 cone =   The curved surface area of 50 cones Now, the cost of painting  area =   Cost of the painting  area Therefore, the cost of painting 50 such hollow cones is

Q : 7    A joker’s cap is in the form of a right circular cone of base radius 7 cm and height 24 cm. Find the area of the sheet required to make 10 such caps.

Given, a right circular cone cap (which means no base) Base radius of the cone =  Height We know, Curved surface area of a right circular cone  The curved surface area of a cap =  The curved surface area of 10 caps =  Therefore, the area of the sheet required for 10 caps =

Q : 6    The slant height and base diameter of a conical tomb are 25 m and 14 m respectively. Find the cost of white-washing its curved surface at the rate of Rs 210 per .

Given, a conical tomb The base diameter of the cone =  Slant height We know, Curved surface area of a cone Now, Cost of whitewashing per  =  Cost of whitewashing per  =  Therefore, the cost of white-washing its curved surface of the tomb is

Q : 5    What length of tarpaulin 3 m wide will be required to make conical tent of height 8 m and base radius 6 m? Assume that the extra length of material that will be required for stitching margins and wastage in cutting is approximately 20 cm (Use ).

Given, Base radius of the conical tent =  Height of the tent =  We know, Curved surface area of a cone =   Area of tarpaulin required = Curved surface area of the tent Now, let the length of the tarpaulin sheet be Since  is wasted, effective length = Breadth of tarpaulin =   Therefore, the length of the required tarpaulin sheet will be 63 m.

Q : 4     A conical tent is 10 m high and the radius of its base is 24 m. Find

(ii) cost of the canvas required to make the tent, if the cost of canvas is Rs 70.

Given,  Base radius of the conical tent  =  Height of the conical tent =   Slant height =  We know, Curved surface area of a cone   Curved surface area of the tent  Cost of  of canvas =  Cost of  of canvas = Therefore, required cost of canvas to make tent is

Q : 4     A conical tent is 10 m high and the radius of its base is 24 m. Find

(i) slant height of the tent.

Given,  Base radius of the conical tent  =  Height of the conical tent =   Slant height =  Therefore, the slant height of the conical tent is

Q : 3    Curved surface area of a cone is and its slant height is . Find

(ii) total surface area of the cone.

Given, The curved surface area of a cone =   Slant height The radius of the cone is   (ii) We know, Total surface area of a cone = Curved surface area + Base area Therefore, the total surface area of the cone is

Q : 3    Curved surface area of a cone is and its slant height is 14 cm. Find

Given, The curved surface area of a cone =   Slant height (i) Let the radius of cone be  We know, the curved surface area of a cone=    Therefore, the radius of the cone is

Q : 2    Find the total surface area of a cone, if its slant height is and diameter of its base is

Given,  Base diameter of the cone =  Slant height =  We know, Total surface area of a cone = Curved surface area + Base area   Required total surface area of the cone=

Q : 1    Diameter of the base of a cone is and its slant height is . Find its curved surface area.

Given,  Base diameter of the cone =  Slant height =  We know, Curved surface area of a cone   Required curved surface area of the cone=
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