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 height of a cylinder is 15.00 cm and L.S.A is 942.86 sq.cm, its base area is
  • 299.29 sq.cm
  • 314.29 sq.cm
  • 292.29 sq.cm
  • 320.29 sq.cm
  • 337.29 sq.cm
Question 2
2.
If the slant height of a cone is 9.43 cm and vertical height is 8.00 cm, its volume is
  • 184.52 cu.cm
  • 236.52 cu.cm
  • 209.52 cu.cm
  • 217.52 cu.cm
  • 191.52 cu.cm
Question 3
3.
If the base radius of a cone is 6.00 cm and L.S.A is 204.03 sq.cm, its T.S.A is
  • 317.18 sq.cm
  • 301.18 sq.cm
  • 330.18 sq.cm
  • 335.18 sq.cm
  • 313.18 sq.cm
Question 4
4.
The height of a right circular cone is 22.00 cm and the radius of its base is 14.50 cm. It is melted and recast into a right circular cone with base radius 10.15 cm. Find the new height
  • 47.90 cm
  • 49.90 cm
  • 41.90 cm
  • 44.90 cm
  • 39.90 cm
Question 5
5.
A hollow metallic cylindrical tube has an internal radius of 9.50 cm and height 20.00 cm. The thickness of the metal is 0.5 cm .The tube is melted to cast into a right circular cone of height 14.00 cm. Find the radius of the cone.
  • 6.46 cm
  • 5.46 cm
  • 7.46 cm
  • 4.46 cm
  • 8.46 cm
Question 6
6.
From a circular cylinder of diameter 20.00 cm and height 20.00 cm, a conical cavity of the same base radius and of the same height is hollowed out. Find the total surface area of the remaining solid.
  • 2414.17 sq.cm
  • 2254.17 sq.cm
  • 2274.17 sq.cm
  • 2144.17 sq.cm
Question 7
7.
A wooden toy rocket is in the shape of a cone mounted on a cylinder. The height of the conical part is 12.00 cm , while the height of the cylindrical part is 24.00 cm. The base of the conical portion has a diameter of 20.00 cm while the base diameter of the cylindrical portion is 12.00 cm. If the conical portion is painted with gray and cylindrical portion with pink, find the area of the rocket painted with each of these colors
      • gray
      • area =
      • 692.06 sq.cm
      • ,
      • pink
      • area =
      • 1018.29 sq.cm
      • gray
      • area =
      • 690.06 sq.cm
      • ,
      • pink
      • area =
      • 1016.29 sq.cm
      • gray
      • area =
      • 693.06 sq.cm
      • ,
      • pink
      • area =
      • 1019.29 sq.cm
      • gray
      • area =
      • 691.06 sq.cm
      • ,
      • pink
      • area =
      • 1017.29 sq.cm
      • gray
      • area =
      • 694.06 sq.cm
      • ,
      • pink
      • area =
      • 1020.29 sq.cm
Question 8
8.
If the base radius of a cone is 9.00 cm and T.S.A is 614.65 sq.cm, its L.S.A. is
  • 336.08 sq.cm
  • 375.08 sq.cm
  • 347.08 sq.cm
  • 373.08 sq.cm
  • 360.08 sq.cm
Question 9
9.
If the slant height of a cone is 12.21 cm and T.S.A is 422.62 sq.cm, its base radius is
  • 7.00 cm
  • 9.00 cm
  • 8.00 cm
  • 5.00 cm
  • 6.00 cm
Question 10
10.
If the breadth, height and L.S.A of a cuboid are 11.00 cm, 14.00 cm and 868.00 sq.cm respectively, its length is
  • 23.00 cm
  • 15.00 cm
  • 20.00 cm
  • 17.00 cm
  • 25.00 cm