ICSE Board Practice

ICSE Grade X - Cone and Sphere
Question 1
1.
If the vertical height of a cone is 5.00 cm and volume is 523.81 cu.cm, its T.S.A is
  • 660.66 sq.cm
  • 677.66 sq.cm
  • 665.66 sq.cm
  • 652.66 sq.cm
  • 679.66 sq.cm
Question 2
2.
A hollow metallic cylindrical tube has an internal radius of 15.00 cm and height 27.00 cm. The thickness of the metal is 5 cm .The tube is melted to cast into a right circular cone of height 18.00 cm. Find the radius of the cone.
  • 28.06 cm
  • 31.06 cm
  • 33.06 cm
  • 25.06 cm
  • 23.06 cm
Question 3
3.
If the base radius of a cone is 10.00 cm and slant height is 11.18 cm, its base area is
  • 316.29 sq.cm
  • 301.29 sq.cm
  • 337.29 sq.cm
  • 300.29 sq.cm
  • 314.29 sq.cm
Question 4
4.
If the base radius of a cone is 7.00 cm and L.S.A is 189.20 sq.cm, its base area is
  • 154.00 sq.cm
  • 137.00 sq.cm
  • 140.00 sq.cm
  • 169.00 sq.cm
  • 166.00 sq.cm
Question 5
5.
If the L.S.A of a sphere is 1018.29 sq.cm, its T.S.A is
  • 898.29 sq.cm
  • 788.29 sq.cm
  • 1288.29 sq.cm
  • 1158.29 sq.cm
  • 1018.29 sq.cm
Question 6
6.
If the slant height of a cone is 11.40 cm and vertical height is 7.00 cm, its T.S.A is
  • 589.03 sq.cm
  • 550.03 sq.cm
  • 577.03 sq.cm
  • 583.03 sq.cm
  • 573.03 sq.cm
Question 7
7.
If the slant height of a cone is 11.31 cm and vertical height is 8.00 cm, its L.S.A. is
  • 270.37 sq.cm
  • 296.37 sq.cm
  • 284.37 sq.cm
  • 261.37 sq.cm
  • 301.37 sq.cm
Question 8
8.
If the base radius of a cone is 5.00 cm and vertical height is 10.00 cm, its L.S.A. is
  • 202.69 sq.cm
  • 152.69 sq.cm
  • 189.69 sq.cm
  • 157.69 sq.cm
  • 175.69 sq.cm
Question 9
9.
If the base radius of a cone is 8.00 cm and L.S.A is 302.72 sq.cm, its T.S.A is
  • 503.86 sq.cm
  • 488.86 sq.cm
  • 509.86 sq.cm
  • 476.86 sq.cm
  • 520.86 sq.cm
Question 10
10.
From a circular cylinder of diameter 15.00 cm and height 19.00 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.
  • 1554.06 sq.cm
  • 1474.06 sq.cm
  • 1694.06 sq.cm
  • 1274.06 sq.cm
  • 1724.06 sq.cm