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Surface Areas and Volumes Test - 5

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Surface Areas and Volumes Test - 5
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  • Question 1
    1 / -0

    If a square paper of side 25 cm is rolled to form a cylinder, then its curved surface area is

    Solution

    if square of side 25cm is rolled to make cylinder then ,

    base  of cylinder will have circumference=25 cm

    i.e. 2πr=25

    and also, height of cylinder would be equal to side of square= 25cm

    And, Curved surface area of cylinder is =2πrh

                                                                   =25*25

                                                                   =625 cm²

  • Question 2
    1 / -0

    The curved surface area of a cylinder whose circumference of the base is 22 m and height 3 m is

    Solution

    The curved surface area of  cylinder=2πrh

    given, 2πr=22 height=3

    so CSA= 22*3=66 m²

  • Question 3
    1 / -0

    If the outer diameter of a pipe 21 m long is 1 m, then its curved surface area is

  • Question 4
    1 / -0

    The cost of cementing the inner curved surface of a 14 m deep well of radius 2 m at the rate of Rs 2 per m2 is

    Solution

    CSA of well=2πrh

                       =2×22/7 × 2 × 14

                       =176 m²

    cost of cementing 1 m²= Rs 2

    so cost of cementing 176 m²= 2×176

                                                 =Rs 352

  • Question 5
    1 / -0

    The total surface area of a right circular cylinder of height 4 cm and radius 3 cm is

    Solution

    Total surface area= 2πrh + 2πr²

                                 =2πr(4 + 3)

                                =2πr(7)

                                =2 × 22 / 7 × 7 × 3

                                =132 cm²

  • Question 6
    1 / -0

    If the lateral surface area of a cylinder is 132 cm2 and its height is 7 cm, then its base diameter is

    Solution

    LSA of cylinder=2πrh

    132 = 2×22/7 × r × 7

    r=132/44

      = 3 cm

    so, diameter would be 3×2=6cm

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