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Mathematics : Surface Areas and Volumes

Short Answer Type

51. The diameter of the roller is 84 cm and its length is 120 cm. It takes 500 complete revolutions to move once over to level a playground. Find the area of the playground in square metres.

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52. The height of a right circular cylinder is 15 cm. Its curved surface area is 660 cm². Find the radius of its base.

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53. A right circular cylinder is 3 m high and the circumference of its base is 22 m. Find its curved surface area.

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54. The diameter of a circular wall is 4.5 m and its depth is 14 m. Find the cost of cementing the in ner surface of the wall at र 120 per sq. m.

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55.

A metal pipe is 77 cm long. The inner diameter of a cross-section is 4 cm and outer diameter is 5.0 cm. Find its

(i) Inner curved surface area
(ii) Outer curved surface area

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56. A cylinder 6 m high, is open at the top. The circumference of its base is 22 m. Find its total surface area.

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57. A solid cylinder has a total surface area 462 cm². Its curved surface area is one-third of the total surface area. Find the height of the cylinder.

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58. A heap of rice is in the form of a cone whose diameter is 48 m and height 10 m. The heap is to be covered by canvas to protect it from rain. Find the cost of canvas required at र 70/m².

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59.

Diameter of the base of a cone is 10.5 cm and its slant height is 10 cm. Find its curved surface area.

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60.

Find the total surface area of a cone, if its slant height is 21 m and diameter of its base is 24 m.

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