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Surface Areas and Volumes

Short Answer Type

81. The radius and slant height of a cone are in the ratio 4 : 7. If its curved surface area is 792 cm², find its height.

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82. The circumference of the base of a 24 m high solid wooden cone is 44 m. Find its curved surface area.

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83. How many metres of cloth

1 4 over 7 space straight m

wide will be required to make a conical tent whose base diameter is 10 m and whose vertical height is 12 cm?

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84. What length of canvas 3 m wide will be required to make a conical tent of height 8 m and radius of base 6 m? (Use $straight pi$ = 3.14)

Solution not provided.

Ans. 62.8 m

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85. A circus tent is in the form of a cone of height 15 m and diameter 16 m. Find the length of the canvas needed to make the tent if the width of the canvas is 2 m. (Use

straight pi

= 3.14)

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86. What is the radius and curved surface of a cone made from a quadrant of a circle of radius 28 cm?

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87.

Find the surface area of a sphere of radius:

(i) 10.5 cm (ii) 5.6 cm (iii) 14 cm.

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88. Find the surface area of a sphere of diameter:

14 cm

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89. Find the surface area of a sphere of diameter:
21 cm

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90. Find the surface area of a sphere of diameter:
3.5 m.

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Previous Year Papers

Test Series

Test Yourself

Short Answer Type

84. What length of canvas 3 m wide will be required to make a conical tent of height 8 m and radius of base 6 m? (Use = 3.14)

84. What length of canvas 3 m wide will be required to make a conical tent of height 8 m and radius of base 6 m? (Use $straight pi$ = 3.14)