ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade X - Cone and Sphere
Question 1
1.
From a circular cylinder of diameter 14.00 cm and height 10.00 cm, a conical cavity of the same base radius and of the same height is hollowed out. Find the volume of the remaining solid.
  • 1066.67 cu.cm
  • 1186.67 cu.cm
  • 856.67 cu.cm
  • 876.67 cu.cm
  • 1026.67 cu.cm
Question 2
2.
A well of diameter 16.00 m is dug to a depth of 16.00 m and the soil from digging is evenly spread out to form a platform of base dimensions 18.00 m✕25.00 m . Find the height of the platform
  • 7.15 m
  • 8.15 m
  • 9.15 m
  • 6.15 m
  • 5.15 m
Question 3
3.
A conical vessel, whose internal radius is 9.50 cm and height 25.00 cm, is full of liquid . Its contents are emptied into a cylindrical vessel with internal radius 2.00 cm. Find the height to which the liquid rises in the cylindrical vessel.
  • 203.02 cm
  • 165.02 cm
  • 188.02 cm
  • 200.02 cm
  • 182.02 cm
Question 4
4.
If the base radius of a cone is 8.00 cm and T.S.A is 438.24 sq.cm, its vertical height is
  • 3.00 cm
  • 6.00 cm
  • 7.00 cm
  • 5.00 cm
  • 4.00 cm
Question 5
5.
If the base radius of a cone is 7.00 cm and L.S.A is 268.62 sq.cm, its vertical height is
  • 10.00 cm
  • 5.00 cm
  • 13.00 cm
  • 7.00 cm
  • 15.00 cm
Question 6
6.
A cylinder with radius 1.00 cm and height 2.00 cm is melted to recast into a cone of height 0.24 cm. Find the radius of the cone.
  • 4.00 cm
  • 5.00 cm
  • 7.00 cm
  • 6.00 cm
  • 3.00 cm
Question 7
7.
If the base radius of a cone is 7.00 cm and vertical height is 10.00 cm, its slant height is
  • 17.21 cm
  • 12.21 cm
  • 7.21 cm
  • 15.21 cm
  • 9.21 cm
Question 8
8.
If two solids, a cube and a hemisphere are combined such that the base of the block is a cube with edge 19.00 cm and the hemisphere fixed on the top has a diameter of 14.00 cm, find the total surface area of the block.
  • 2470.00 sq.cm
  • 2320.00 sq.cm
  • 2080.00 sq.cm
  • 2280.00 sq.cm
  • 2390.00 sq.cm
Question 9
9.
The radii of the ends of a frustum of a right circular cone 12.00 cm high are 12.50 cm and 3.50 cm. Its volume is
  • 2808.29 cu.cm
  • 2518.29 cu.cm
  • 2688.29 cu.cm
  • 2528.29 cu.cm
  • 2668.29 cu.cm
Question 10
10.
If the slant height of a cone is 11.66 cm and T.S.A is 333.02 sq.cm, its base area is
  • 113.14 sq.cm
  • 126.14 sq.cm
  • 85.14 sq.cm
  • 107.14 sq.cm
  • 118.14 sq.cm