CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade X - Surface Areas and Volumes
Question 1
1.
If the base radius of a cone is 7.00 cm and L.S.A is 217.80 sq.cm, its vertical height is
  • 6.00 cm
  • 7.00 cm
  • 5.00 cm
  • 8.00 cm
  • 9.00 cm
Question 2
2.
A hollow metallic cylindrical tube has an internal radius of 9.00 cm and height 17.00 cm. The thickness of the metal is 5 cm .The tube is melted to cast into a right circular cone of height 5.00 cm. Find the radius of the cone.
  • 29.25 cm
  • 34.25 cm
  • 37.25 cm
  • 31.25 cm
  • 39.25 cm
Question 3
3.
Metallic spheres of radii 12.00 cm, 6.00 cm are melted to form a single solid sphere. Find the radius of the resulting sphere.
  • 3
    √

    1947
    cm
  • 5
    √

    1944
    cm
  • 3
    √

    1944
    cm
  • 1944
    cm
  • 3
    √

    1942
    cm
Question 4
4.
The radii of the ends of a frustum of a right circular cone 16.00 cm high are 12.50 cm and 7.50 cm. Its curved surface area is
  • 1053.68 sq.cm
  • 1023.68 sq.cm
  • 913.68 sq.cm
  • 1213.68 sq.cm
  • 1123.68 sq.cm
Question 5
5.
If the slant height of a cone is 10.30 cm and L.S.A is 161.86 sq.cm, its T.S.A is
  • 240.43 sq.cm
  • 262.43 sq.cm
  • 254.43 sq.cm
  • 214.43 sq.cm
  • 237.43 sq.cm
Question 6
6.
If the base radius of a cone is 9.00 cm and T.S.A is 595.13 sq.cm, its slant height is
  • 7.04 cm
  • 17.04 cm
  • 15.04 cm
  • 9.04 cm
  • 12.04 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 20.00 cm and the hemisphere fixed on the top has a diameter of 16.00 cm, find the total surface area of the block.
  • 2461.14 sq.cm
  • 2331.14 sq.cm
  • 2751.14 sq.cm
  • 2821.14 sq.cm
  • 2601.14 sq.cm
Question 8
8.
If the slant height of a cone is 9.90 cm and vertical height is 7.00 cm, its base radius is
  • 8.00 cm
  • 7.00 cm
  • 9.00 cm
  • 6.00 cm
  • 5.00 cm
Question 9
9.
If the base radius of a cone is 8.00 cm and volume is 603.43 cu.cm, its vertical height is
  • 11.00 cm
  • 9.00 cm
  • 7.00 cm
  • 8.00 cm
  • 10.00 cm
Question 10
10.
The radii of the ends of a frustum of a right circular cone 5.00 cm high are 4.50 cm and 2.50 cm. Its total surface area is
  • 185.76 sq.cm
  • 214.76 sq.cm
  • 223.76 sq.cm
  • 201.76 sq.cm