ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade X - Cone and Sphere
Question 1
1.
If the slant height of a cone is 12.81 cm and L.S.A is 322.08 sq.cm, its base radius is
  • 10.00 cm
  • 6.00 cm
  • 7.00 cm
  • 8.00 cm
  • 9.00 cm
Question 2
2.
Two cubes each of volume 4913.00 cu.cm are joined end to end . Find the surface area of the resulting cuboid.
  • 3130.00 sq.cm
  • 2890.00 sq.cm
  • 2710.00 sq.cm
  • 2940.00 sq.cm
Question 3
3.
If the base radius of a cone is 10.00 cm and vertical height is 6.00 cm, its T.S.A is
  • 680.74 sq.cm
  • 657.74 sq.cm
  • 694.74 sq.cm
  • 692.74 sq.cm
  • 676.74 sq.cm
Question 4
4.
If the base radius of a cone is 6.00 cm and volume is 188.57 cu.cm, its T.S.A is
  • 268.42 sq.cm
  • 272.42 sq.cm
  • 260.42 sq.cm
  • 256.42 sq.cm
  • 235.42 sq.cm
Question 5
5.
If the base radius of a cone is 8.00 cm and vertical height is 8.00 cm, its volume is
  • 549.38 cu.cm
  • 524.38 cu.cm
  • 536.38 cu.cm
  • 542.38 cu.cm
  • 508.38 cu.cm
Question 6
6.
If the slant height of a cone is 14.14 cm and T.S.A is 758.69 sq.cm, its base radius is
  • 7.00 cm
  • 15.00 cm
  • 13.00 cm
  • 5.00 cm
  • 10.00 cm
Question 7
7.
If the vertical height of a cone is 10.00 cm and volume is 848.57 cu.cm, its L.S.A. is
  • 383.44 sq.cm
  • 368.44 sq.cm
  • 372.44 sq.cm
  • 380.44 sq.cm
  • 397.44 sq.cm
Question 8
8.
    • A farmer connects a pipe of internal diameter
    • 40 cm
    • from a canal into a cylindrical tank in his field,
    • which is
    • 20 m
    • in diameter and
    • 2 m
    • deep.
    • If water flows through the pipe at the rate of
    • 10
      kmph
    • ,
    • in how much time will the tank be filled ?
  • 30.00 min
  • 27.00 min
  • 25.00 min
  • 35.00 min
  • 33.00 min
Question 9
9.
A well of diameter 10.00 m is dug to a depth of 14.00 m and the soil from digging is evenly spread out to form a platform of base dimensions 22.00 m✕15.00 m . Find the height of the platform
  • 1.33 m
  • 2.33 m
  • 5.33 m
  • 4.33 m
  • 3.33 m
Question 10
10.
From a solid cylinder of height 19.00 cm and base radius 6.00 cm, a conical cavity of height 11.00 cm and base radius 6.00 cm is drilled out. Find the volume of the resulting solid
  • 1894.86 cu.cm
  • 1464.86 cu.cm
  • 1804.86 cu.cm
  • 1574.86 cu.cm
  • 1734.86 cu.cm