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Mensuration Model Question Paper

10th Standard EM

    Reg.No. :
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Maths

Time : 01:00:00 Hrs
Total Marks : 50
    4 x 1 = 4
  1. The radio of base of a one 5 cm and to height 12cm. The slant height of the cone.

    (a)

    12cm

    (b)

    17 cm

    (c)

    7 cm

    (d)

    60 cm

  2. A cylinder 10 cone and have there are of a equal base and have the same height. what is the ratio of there volumes?

    (a)

    3:1:2

    (b)

    3:2:1

    (c)

    1:2:3

    (d)

    1:3:2

  3. How many balls, each of radius 1 cm, can be made from a solid sphere of lead of radius cm?

    (a)

    64

    (b)

    216

    (c)

    512

    (d)

    16

  4. The volume of a frustum if a cone of height L and ends -radio and r1 and r2 is

    (a)

    \(\frac{1}{3}\)πh1(r12+r22+r1r2)

    (b)

    \(\frac{1}{3}\)πh(r12+r22-r1r2)

    (c)

    πh(r12+r22+r1r2)

    (d)

    πh(r12+r22-r1r2)

  5. 5 x 2 = 10
  6. The ratio of the volumes of two cones is 2:3. Find the ratio of their radii if the height of second cone is double the height of the first.

  7. A cone of height 24 cm is made up of modeling clay. A child reshapes it in the form of a cylinder of same radius as cone. Find the height of the cylinder.

  8. An aluminium sphere of radius 12 cm is melted to make a cylinder of radius 8 cm. Find the height of the cylinder.

  9. If the radii of the circular ends of a conical bucket which is 45 em high are 28 em and 7 em, find the capacity of the bucket. (Use π=\(\frac{22}{7}\))

  10. Find the depth of a cylindrical tank of radius 28 m, if its capacity is equal to that of a rectangular tank of size 28 m x 16 m x 11 m.

  11. 4 x 5 = 20
  12. A hemi-spherical hollow bowl has material of volume \(\frac{436\pi}{3}\)cubic cm. Its external diameter is 14 cm. Find its thickness.

  13. The volume of a cone is 1005\(\frac{5}{7}\)cu. cm. The area of its base is 201\(\frac{1}{7}\)sq. cm. Find the slant height of the cone.

  14. What is the ratio of the volume of a cylinder, a cone, and a sphere. If each has the same diameter and same height?

  15. Find the number of coins, 1.5 em is diameter and 0.2 em thick, to be melted to form' a right circular cylinder of height 10 ern and diameter 4.5 cm.

  16. 2 x 8 = 16
  17. A spherical ball of iron has been melted and made into small balls. If the radius of each smaller ball is one-fourth of the radius of the original one, how many such balls can be made?

  18. A wooden article was made by scooping out a hemisphere from each end of a cylinder as shown in figure. If the height of the cylinder is 10cm and its base is of radius 3.5 em find the total surface area of the article.

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