Mensuration 8 Mark Creative Question Paper With Answer Key

10th Standard

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Maths

Time : 01:00:00 Hrs
Total Marks : 104

     8 Marks

    13 x 8 = 104
  1. A factory manufactures 1,20,000 pencils daily The pencils are cylindric in shape, each of length 25 cm and circumference 1.5 cm. Determine the cost of colouring the curved surface of the pencils manufactured in one day at Rs 0.05 per cm2.

  2. There are two cones. The curved surface area of one is twice that of the other. The slant height of the later is twice that of the former. Find the ratio of their radii.

  3. The diameter of a sphere is decreased by 25% By what percent does its curved surface area decrease?

  4. A solid cylinder has total surface area of 462 sq. cm. Its curved surface area is One-third its total surface area. Find the volume of cylinder

  5. A cone of height 24 cm has a curved surface area 550 cm2. Find its volume

  6. A hemispherical tank is made up of an iron sheet 1 cm thick. If the inner radius is 1 m, then find the volume of the iron used to make the tank.

  7. The height of a cone is 30 cm. A small cone is cut off at the top by a plane parallel to the base. If its volume is \(\frac{1}{27}\) of the volume of the given cone, at what height above the base is the section made?

  8. A toy is in the form of a cone on a hemisphere of diameter 7 cm. The total height of the toy is 14.5 cm. Find the volume and the total surface area of the toy

  9. A petrol tank is a cylinder of base diameter 21 cm and length 18 cm fitted with conical ends each of axis length 9 cm. Determine the capacity of the tank

  10. Find the volume of a solid in the form of a right circular cylinder with hemispherical ends whose total length is 2.7 m and the diameter of each hemispherical end is 0.7 m.

  11. A hemispherical bowl of internal diameter 36 cm contains a liquid. This liquid is to be filled into cylindrical bottles of radius 3 cm and height 6 cm. How many such bottles are required to empty the bowl?

  12. A vessel in the form of an invested cone. its height is 8 cm and the radius is 5 cm. It is filled with water up to the brim When lead shots each of which is a sphere of radius 0.5 cm are dropped into the vessel, one fourth of the water flows out. Find the number of lead shots dropped into the vessel.

  13. A right triangle with sides 3 cm and, 4 cm is revolved around its hypotenuse. Find the volume of the double cone thus formed.

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