Volume and Surface Area of Solid Figures


  1. The curved surface area of a right circular cone of radius 14 cm is 440 sq cm. what is the slant height of the cone ?









  1. View Hint View Answer Discuss in Forum

    Curved surface area of right circular cone = πrl
    ∴ 440 = (22/7) x 14 x l

    Correct Option: A

    Curved surface area of right circular cone = πrl
    ∴ 440 = (22/7) x 14 x l
    ⇒ l = (440 x 7) / (22 x 14) = 10 cm


  1. A pillar 14 cm in diameters is 5 m high. How much material was used to construct it ?









  1. View Hint View Answer Discuss in Forum

    Volume of the cylinder = πr2h

    Correct Option: D

    Volume of the cylinder = πr2h
    = (22/7) x 7 x 7 x 500 = 77000
    = (77 x 103) cm3



  1. A cylindrical pillar is 50 cm in diameter and 3.5 m in height. Find the cost of painting the covered surface of the pillar at the rate ₹ 10 per sq m . ?









  1. View Hint View Answer Discuss in Forum

    Curved surface area = 2πrh
    = 2 x (22/7) x 0.25 x 3.5

    Correct Option: D

    Curved surface area = 2πrh
    = 2 x (22/7) x 0.25 x 3.5
    = 5.5 sq m
    ∴ Cost of painting 5.5 sq m = 10 x 5.5
    = ₹ 55


  1. The diameter of a roller is 84 cm and its length 120 cm. Its takes 500 complete revolutions to move once over to level a playground (in sq m) ?









  1. View Hint View Answer Discuss in Forum

    In one revolution, area covered = Covered surface area
    ⇒ 2πrh = 2 x (22/7) x 42 x 120 = 31680 sq cm
    in 500 revolutions,
    Area covered = 31680 x 500

    Correct Option: D

    In one revolution, area covered = Covered surface area
    ⇒ 2πrh = 2 x (22/7) x 42 x 120 = 31680 sq cm
    in 500 revolutions,
    Area covered = 31680 x 500 = (1584 x 104) sq cm
    = (1584 x 104) / (104) = 1584 sq m



  1. Find the volume of a right circular cylinder of length 80 cm and diameter of the base 14 cm. ?









  1. View Hint View Answer Discuss in Forum

    Given, r = 7 cm, h = 80 cm
    Volume = πr2h = (22/7) x 7 x 7 x 80

    Correct Option: C

    Given, r = 7 cm, h = 80 cm
    Volume = πr2h = (22/7) x 7 x 7 x 80
    = 12320 cm3