The curved surface area of a right circular cone is 12320 cm2. I
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    Surface Areas and Volumes

    Multiple Choice QuestionsShort Answer Type

    61. Curved surface area of a cone is 308 cm2 and its slant height is 14 cm. Find (i) radius of the base and (ii) total surface area of the cone.
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    62.

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

    (i)     slant height of the tent.
    (ii)    cost of the canvas required to make the tent, if the cost of 1 m2 canvas is र 70.

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    63. What length of tarpaulin 3 m wide will be required to make conical tent of height 8 m and base radius 6m? Assume that the extra length of material that will be required for stitching margins and wastage in cutting is approximately 20 cm (Use straight pi = 3.14)
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    64. 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 र 210 per 100 m2.
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    65. 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. 
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    66. 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. र 12 per m2, what will be the cost of painting all these cones? (Use straight pi = 3.14 and take square root of 1.04 end root equals 1.02 right parenthesis
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    67. The curved surface area of a right circular cone is 12320 cm2. If the radius of its base is 56 cm, find its height.

    Let the height of the right circular cone be h cm. r = 56 cm Curved surface area = 12320 cm2 ⇒    πrl = 12320

    rightwards double arrow space space space space πr square root of straight r squared plus straight h squared end root equals 12320 rightwards double arrow space space space space 22 over 7 cross times 56 cross times square root of left parenthesis 56 right parenthesis squared plus straight h squared end root equals 12320 rightwards double arrow space space space square root of left parenthesis 56 right parenthesis squared plus straight h squared end root equals 70

    ⇒    (56)2 + h2 = (70)2
    | Squaring both sides
    ⇒    h2 = (70)2 – (56)2
    ⇒    h2 = (70 – 56)(70 + 56)
    ⇒    h2 = (14)(126)
    ⇒    h2= (14)(14 x 9)
    ⇒    h = 14 x 3 = 42
    | Extracting square root
    Hence, the height of the right circular cone is 42 cm.



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    68.  Find the total surface area of a cone whose radius is and slant height is 2l.
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    69. CSA of an ice cream cone of slant height 12 cm is 113.04 cm2. Find the base radius and height of the cone, (straight pi = 3.14)
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    70. The radius and vertical height of a cone are 5 cm and 12 cm respectively. Find the curved surface area. 
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