ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade X - Cone and Sphere
Question 1
1.
Two cubes each of volume 2744.00 cu.cm are joined end to end . Find the surface area of the resulting cuboid.
  • 1960.00 sq.cm
  • 2140.00 sq.cm
  • 1840.00 sq.cm
  • 1800.00 sq.cm
  • 2130.00 sq.cm
Question 2
2.
If the base radius of a cone is 10.00 cm and vertical height is 8.00 cm, its volume is
  • 862.10 cu.cm
  • 811.10 cu.cm
  • 834.10 cu.cm
  • 838.10 cu.cm
  • 850.10 cu.cm
Question 3
3.
If the slant height of a cone is 14.14 cm and vertical height is 10.00 cm, its L.S.A. is
  • 439.40 sq.cm
  • 422.40 sq.cm
  • 472.40 sq.cm
  • 444.40 sq.cm
  • 451.40 sq.cm
Question 4
4.
A cylindrical vessel of base radius 15.00 cm contains water . A solid sphere of radius 13.00 cm is immersed completely in the water. Find the rise in the water level in the vessel
  • 16.02 cm
  • 13.02 cm
  • 18.02 cm
  • 8.02 cm
  • 10.02 cm
Question 5
5.
A wooden toy rocket is in the shape of a cone mounted on a cylinder. The height of the conical part is 14.00 cm , while the height of the cylindrical part is 28.00 cm. The base of the conical portion has a diameter of 16.00 cm while the base diameter of the cylindrical portion is 10.00 cm. If the conical portion is painted with pink and cylindrical portion with blue, find the area of the rocket painted with each of these colors
      • pink
      • area =
      • 525.87 sq.cm
      • ,
      • blue
      • area =
      • 956.57 sq.cm
      • pink
      • area =
      • 529.87 sq.cm
      • ,
      • blue
      • area =
      • 960.57 sq.cm
      • pink
      • area =
      • 527.87 sq.cm
      • ,
      • blue
      • area =
      • 958.57 sq.cm
      • pink
      • area =
      • 528.87 sq.cm
      • ,
      • blue
      • area =
      • 959.57 sq.cm
      • pink
      • area =
      • 526.87 sq.cm
      • ,
      • blue
      • area =
      • 957.57 sq.cm
Question 6
6.
If the slant height of a cone is 12.73 cm and T.S.A is 614.65 sq.cm, its volume is
  • 763.71 cu.cm
  • 747.71 cu.cm
  • 766.71 cu.cm
  • 787.71 cu.cm
  • 740.71 cu.cm
Question 7
7.
If two solids, a cube and a hemisphere are combined such that the base of the block is a cube with edge 12.00 cm and the hemisphere fixed on the top has a diameter of 10.00 cm, find the total surface area of the block.
  • 935.57 sq.cm
  • 957.57 sq.cm
  • 950.57 sq.cm
  • 926.57 sq.cm
  • 942.57 sq.cm
Question 8
8.
If the slant height of a cone is 10.63 cm and L.S.A is 233.86 sq.cm, its T.S.A is
  • 395.86 sq.cm
  • 414.86 sq.cm
  • 373.86 sq.cm
  • 372.86 sq.cm
  • 387.86 sq.cm
Question 9
9.
A solid consists of a right circular cylinder with a hemisphere on one end and a cone on the other . The radius and height of the cylindrical part are 9.00 cm and 30.00 cm respectively. The radii of the hemispherical and conical parts are the same as that of the cylindrical part. Calculate the total surface area of the solid, if the height of the conical part is 18.00 cm
  • 2775.39 sq.cm
  • 2735.39 sq.cm
  • 2855.39 sq.cm
  • 2505.39 sq.cm
  • 3025.39 sq.cm
Question 10
10.
If the L.S.A of a sphere is 616.00 sq.cm, its radius is
  • 8.00 cm
  • 6.00 cm
  • 7.00 cm
  • 9.00 cm
  • 5.00 cm