ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade X - Cone and Sphere
Question 1
1.
A solid consisting of a right circular cone, standing on a hemisphere is placed upright, in a right circular cylinder full of water and touches the bottom. The radius of the cylinder is 8.50 cm and height is 29.50 cm. The radius of the hemisphere is 6.50 cm and the height of the cone is 20.00 cm. Find the volume of water left in the cylinder.
  • 5237.96 cu.cm
  • 5307.96 cu.cm
  • 5017.96 cu.cm
  • 5067.96 cu.cm
  • 5357.96 cu.cm
Question 2
2.
If the base radius of a cone is 8.00 cm and volume is 603.43 cu.cm, its L.S.A. is
  • 307.72 sq.cm
  • 319.72 sq.cm
  • 299.72 sq.cm
  • 302.72 sq.cm
  • 274.72 sq.cm
Question 3
3.
If the radius of a sphere is 10.00 cm, its T.S.A is
  • 1077.14 sq.cm
  • 1307.14 sq.cm
  • 1257.14 sq.cm
  • 1427.14 sq.cm
  • 1227.14 sq.cm
Question 4
4.
If the slant height of a cone is 10.00 cm and T.S.A is 301.71 sq.cm, its base area is
  • 100.14 sq.cm
  • 139.14 sq.cm
  • 85.14 sq.cm
  • 116.14 sq.cm
  • 113.14 sq.cm
Question 5
5.
If the base radius of a cone is 5.00 cm and L.S.A is 175.69 sq.cm, its base area is
  • 75.57 sq.cm
  • 78.57 sq.cm
  • 73.57 sq.cm
  • 83.57 sq.cm
  • 81.57 sq.cm
Question 6
6.
If the base radius of a cone is 10.00 cm and L.S.A is 366.46 sq.cm, its volume is
  • 651.57 cu.cm
  • 616.57 cu.cm
  • 628.57 cu.cm
  • 600.57 cu.cm
  • 645.57 cu.cm
Question 7
7.
From a circular cylinder of diameter 19.00 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.
  • 1720.95 cu.cm
  • 2040.95 cu.cm
  • 1850.95 cu.cm
  • 2020.95 cu.cm
  • 1890.95 cu.cm
Question 8
8.
If the slant height of a cone is 9.22 cm and vertical height is 6.00 cm, its volume is
  • 300.00 cu.cm
  • 321.00 cu.cm
  • 308.00 cu.cm
  • 295.00 cu.cm
  • 333.00 cu.cm
Question 9
9.
If the slant height of a cone is 12.81 cm and vertical height is 10.00 cm, its L.S.A. is
  • 348.08 sq.cm
  • 310.08 sq.cm
  • 322.08 sq.cm
  • 309.08 sq.cm
  • 325.08 sq.cm
Question 10
10.
If the slant height of a cone is 12.21 cm and L.S.A is 268.62 sq.cm, its base radius is
  • 5.00 cm
  • 6.00 cm
  • 9.00 cm
  • 7.00 cm
  • 8.00 cm