CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade X - Surface Areas and Volumes
Question 1
1.
A cone of maximum volume is carved out of a cuboid of dimensions 13.00 cm✕13.00 cm✕18.00 cm. Find the volume of the cone
  • 796.71 cu.cm
  • 810.71 cu.cm
  • 773.71 cu.cm
  • 793.71 cu.cm
Question 2
2.
An open cylindrical vessel of internal diameter 16.00 cm and height 13.00 cm stands on a horizontal table. Inside this is placed a solid metallic right circular cone, the diameter of whose base is 8.00 cm and height 13.00 cm and filled with water. If the cone is replaced by another cone whose height is 7.80 cm and base radius is 2.40 cm, find the drop in the water level.
  • 8.85 cm
  • 7.85 cm
  • 0.85 cm
  • 2.85 cm
  • 1.85 cm
Question 3
3.
If the length, breadth and volume of a cuboid are 17.00 cm, 15.00 cm and 3570.00 cu.cm respectively, its T.S.A is
  • 1536.00 sq.cm
  • 1226.00 sq.cm
  • 1676.00 sq.cm
  • 1156.00 sq.cm
  • 1406.00 sq.cm
Question 4
4.
If the radius of a cylinder is 11.00 cm and height is 19.00 cm, its T.S.A is
  • 2074.29 sq.cm
  • 1944.29 sq.cm
  • 1954.29 sq.cm
  • 2324.29 sq.cm
  • 2194.29 sq.cm
Question 5
5.
If the base radius of a cone is 10.00 cm and T.S.A is 680.74 sq.cm, its vertical height is
  • 8.00 cm
  • 5.00 cm
  • 6.00 cm
  • 7.00 cm
  • 4.00 cm
Question 6
6.
A solid consists of a cylinder with one hemispherical end with length 35.00 cm and diameter 19.00 cm. Find the total surface area of the solid
  • 2940.93 sq.cm
  • 3070.93 sq.cm
  • 3190.93 sq.cm
  • 2760.93 sq.cm
  • 2800.93 sq.cm
Question 7
7.
If the base radius of a cone is 7.00 cm and T.S.A is 422.62 sq.cm, its base area is
  • 146.00 sq.cm
  • 154.00 sq.cm
  • 166.00 sq.cm
  • 139.00 sq.cm
  • 171.00 sq.cm
Question 8
8.
If the base radius of a cone is 7.00 cm and volume is 256.67 cu.cm, its slant height is
  • 8.60 cm
  • 7.60 cm
  • 10.60 cm
  • 6.60 cm
  • 9.60 cm
Question 9
9.
If the side of a cube is 20.00 cm, its volume is
  • 8000.00 cu.cm
  • 7780.00 cu.cm
  • 8270.00 cu.cm
  • 8020.00 cu.cm
  • 7840.00 cu.cm
Question 10
10.
If the T.S.A of a sphere is 1018.29 sq.cm, its volume is
  • 3084.86 cu.cm
  • 2834.86 cu.cm
  • 3054.86 cu.cm
  • 3334.86 cu.cm
  • 3004.86 cu.cm