ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade X - Cone and Sphere
Question 1
1.
If the vertical height of a cone is 7.00 cm and volume is 594.00 cu.cm, its base radius is
  • 8.00 cm
  • 10.00 cm
  • 9.00 cm
  • 7.00 cm
  • 11.00 cm
Question 2
2.
If the base radius of a cone is 5.00 cm and slant height is 7.07 cm, its T.S.A is
  • 189.67 sq.cm
  • 175.67 sq.cm
  • 172.67 sq.cm
  • 215.67 sq.cm
  • 201.67 sq.cm
Question 3
3.
A wooden toy rocket is in the shape of a cone mounted on a cylinder. The height of the conical part is 13.00 cm , while the height of the cylindrical part is 26.00 cm. The base of the conical portion has a diameter of 18.00 cm while the base diameter of the cylindrical portion is 10.00 cm. If the conical portion is painted with blue and cylindrical portion with white, find the area of the rocket painted with each of these colors
      • blue
      • area =
      • 625.20 sq.cm
      • ,
      • white
      • area =
      • 897.71 sq.cm
      • blue
      • area =
      • 624.20 sq.cm
      • ,
      • white
      • area =
      • 896.71 sq.cm
      • blue
      • area =
      • 623.20 sq.cm
      • ,
      • white
      • area =
      • 895.71 sq.cm
      • blue
      • area =
      • 622.20 sq.cm
      • ,
      • white
      • area =
      • 894.71 sq.cm
      • blue
      • area =
      • 621.20 sq.cm
      • ,
      • white
      • area =
      • 893.71 sq.cm
Question 4
4.
If the base radius of a cone is 9.00 cm and vertical height is 5.00 cm, its slant height is
  • 13.30 cm
  • 10.30 cm
  • 7.30 cm
  • 5.30 cm
  • 15.30 cm
Question 5
5.
A well of diameter 10.00 m is dug to a depth of 13.00 m . The soil taken out of it has been spread evenly all around it in the shape of a circular ring of width 5m to form an embankment. Find the height of the embankment.
  • 3.33 m
  • 2.33 m
  • 4.33 m
  • 5.33 m
  • 6.33 m
Question 6
6.
A conical vessel, whose internal radius is 9.50 cm and height 5.00 cm, is full of liquid . Its contents are emptied into a cylindrical vessel with internal radius 5.00 cm. Find the height to which the liquid rises in the cylindrical vessel.
  • 6.02 cm
  • 5.02 cm
  • 8.02 cm
  • 7.02 cm
  • 4.02 cm
Question 7
7.
A cylindrical vessel of base radius 22.00 cm contains water . A solid sphere of radius 12.00 cm is immersed completely in the water. Find the rise in the water level in the vessel
  • 2.76 cm
  • 3.76 cm
  • 4.76 cm
  • 6.76 cm
  • 5.76 cm
Question 8
8.
A solid consists of a cylinder with one hemispherical end with length 28.00 cm and diameter 14.00 cm. Find the total surface area of the solid
  • 1694.00 sq.cm
  • 1434.00 sq.cm
  • 1924.00 sq.cm
  • 1864.00 sq.cm
  • 1634.00 sq.cm
Question 9
9.
If the slant height of a cone is 9.43 cm and T.S.A is 226.76 sq.cm, its vertical height is
  • 7.00 cm
  • 9.00 cm
  • 8.00 cm
  • 6.00 cm
  • 10.00 cm
Question 10
10.
If the slant height of a cone is 8.60 cm and T.S.A is 343.20 sq.cm, its base area is
  • 154.00 sq.cm
  • 148.00 sq.cm
  • 162.00 sq.cm
  • 142.00 sq.cm
  • 171.00 sq.cm