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1. The height of a cone is 16 cm and its base radius is 12 cm. Find the curved surface area and the total surface area of the cone (Use π = 3.14). (NCERT)
11. The height of a cone is 15 cm. If its volume is 1570 cm3, find radius of the base. (π = 3.14)
15. A conical tent is 10 m high and the radius of its base is 24 m. Find (NCERT)
(i) slant height of the tent.
(ii) cost of the canvas required to make the tent, if the cost of 1 m2canvas is Rs.70.
16. The radius of the cone is 7 cm and the area of the curved surface is 176 cm2. Find the slant height.
17. The height of the cone is 21 cm. Find the area of the base if the slant height is 28 cm.
18. The area of the curved surface of the cone is 60 cm2. If the slant height of the cone be 8 cm, find the radius of the base.
19. If volume of a right circular cone of height 9 cm is 48 π cm3, find diameter of its base. (NCERT)
20. The volume of a right circular cone is 9856 cm3. If the diameter of the base is 28 cm, find (i) height of the cone (ii) slant height of the cone
(iii) curved surface area of the cone (NCERT)
21. The radius and slant height of a cone are in the ratio of 4:7. If the curved surface area is 792 cm2, find the radius. (Use = 22/7)
22. The lateral surface of a cylinder is equal to the curved surface of the cone. If the radius be the same, find the ratio of the height of the cylinder and slant height of the cone.
23. The radius and the height of a right circular cone are in the ratio of 5 : 12 and its volume is 2512 cu cm. Find the CSA and TSA of the cone. (Use = 3.14)
24. The curved surface of a cone is 156 cm2. If radius of its base is 12 cm, find the height of the cone and hence the volume of the cone.
25. A heap of wheat is in the form of a cone whose diameter is 10.5 m and height is 3 m. Find its volume. The
heap is to be covered by canvas to protect it from rain. Find the area of the canvas required.
26. A corn cob, shaped somewhat like a cone, has the radius of the broadcast end as 2.1 cm and length as 20 cm. if each 1 cm2 of the surface cob carries an average of four grains, find how many grains you would find on the entire cob? (NCERT)
27. 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. (NCERT)
28. The diameters of two cones are in the ratio 3 : 5 and their slant heights are in the ratio 5 : 13. Find the ratio of their curved surface areas
29. 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 210 per 100 m2. (NCERT)
(NCERT)
30. 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 = 3.14) (NCERT)
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31. A bus stop is barricaded from the remaining part of the road, by using 50 hollow cones made of recycled card-board. Each cone has a base diameter of 40 cm and height 1m. If the outer side of each of the cones is to be painted and the cost of painting is Rs 12 per m2, what will be the cost of painting all these cones. (Use = 3.14 and√1.04 = 1.02) (NCERT)
32. How many meters of cloth 5 m wide will be require to make a conical tent, the radius of whose base is 7 m and height 24 m?
33. How many meters of cloth 2.5 m wide will be required to make a conical tent whose base radius is 7 m and height 24 m?
34. A right triangle ABC with sides 5 cm, 12 cm and 13 cm is revolved about the side 12 cm. Find the volume of the solid so obtained. (NCERT)
35. If the triangle ABC in the Question above is revolved about the side 5 cm, then find the volume of the solid so obtained. Find also the ratio of the volumes of the two solids obtained. (NCERT)
36. A cylinder and a cone have equal radii of their bases are equal heights. If their curved surface areas are in the ratio 8:5, show that the radius of each is to the height of each as 3 : 4.
37. Monica has a piece of canvas whose area is 551 m2. She uses it to have a conical tent made, with a base radius of 7 m. Assuming that all the stitching margins and the wastage incurred while cutting, amounts to approximately 1 m2, find the volume of the tent that can be made with it. (NCERT)
38. Find the volume of the largest cone that can be cut out from a cube whose edge is 9 cm.
39. Find the volume and curved surface area of the largest cone that can be cut from a cylinder whose
diameter of base
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