Mensuration Book Back Questions

10th Standard EM

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Maths

Time : 00:45:00 Hrs
Total Marks : 30
    6 x 1 = 6
  1. The curved surface area of a right circular cone of height 15 cm and base diameter 16 cm is

    (a)

    60\(\pi\) cm2

    (b)

    68\(\pi\) cm2

    (c)

    120\(\pi\) cm2

    (d)

    136\(\pi\) cm2

  2. If two solid hemispheres of same base radius r units are joined together along their bases, then curved surface area of this new solid is

    (a)

    4\(\pi\)r2 sq.units

    (b)

    6\(\pi\)r2 sq.units

    (c)

    3\(\pi\)r2 sq.units

    (d)

    8\(\pi\)r2 sq.units

  3. Th e height of a right circular cone whose radius is 5 cm and slant height is 13 cm will be

    (a)

    12 cm

    (b)

    10 cm

    (c)

    13 cm

    (d)

    5 cm

  4. A solid sphere of radius x cm is melted and cast into a shape of a solid cone of same radius. The height of the cone is

    (a)

    3 x cm

    (b)

    x cm

    (c)

    4 x cm

    (d)

    2x cm

  5. A shuttle cock used for playing badminton has the shape of the combination of

    (a)

    a cylinder and a sphere

    (b)

    a hemisphere and a cone

    (c)

    a sphere and a cone

    (d)

    frustum of a cone and a hemisphere

  6. The height and radius of the cone of which the frustum is a part are h1 units and r1 units respectively. Height of the frustum is h2 units and radius of the smaller base is r2 units. If h2 : h1 =1:2 then r2:r1 is

    (a)

    1:3

    (b)

    1:2

    (c)

    2:1

    (d)

    3:1

  7. 3 x 2 = 6
  8. A garden roller whose length is 3 m long and whose diameter is 2.8 m is rolled to level a garden. How much area will it cover in 8 revolutions?

  9. The radius of a conical tent is 7 m and the height is 24 m. Calculate the length of the canvas used to make the tent if the width of the rectangular canvas is 4 m?

  10. If the base area of a hemispherical solid is 1386 sq. metres, then find its total surface area?

  11. 2 x 5 = 10
  12. 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.

  13. If the radii of the circular ends of a frustum which is 45 cm high are 28 cm and 7 cm, find the volume of the frustum.

  14. 1 x 8 = 8
  15. Th e radius of a sphere increases by 25%. Find the percentage increase in its surface area.

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