ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade X - Cone and Sphere
Question 1
1.
A metallic sphere of radius 16.00 cm is melted to recast into the shape of a cylinder of radius 19.00 cm . Find the height of the cylinder.
  • 18.13 cm
  • 15.13 cm
  • 12.13 cm
  • 10.13 cm
  • 20.13 cm
Question 2
2.
If the radius of a sphere is 13.00 cm, its L.S.A is
  • 2124.57 sq.cm
  • 1844.57 sq.cm
  • 1974.57 sq.cm
  • 2264.57 sq.cm
  • 2394.57 sq.cm
Question 3
3.
If the base radius of a cone is 10.00 cm and L.S.A is 383.74 sq.cm, its vertical height is
  • 5.00 cm
  • 6.00 cm
  • 7.00 cm
  • 8.00 cm
  • 9.00 cm
Question 4
4.
An ice cream container has the shape of a right circular cylinder having inner diameter 22.00 cm and height 31.00 cm . The ice cream is filled into cones of diameter 19.00 cm and height 12.00 cm , having a hemispherical shape on the top. Find the number of such complete cones which can be filled with ice cream
  • 6
  • 4
  • 5
  • 2
  • 3
Question 5
5.
If the vertical height of a cone is 9.00 cm and volume is 942.86 cu.cm, its base area is
  • 314.29 sq.cm
  • 288.29 sq.cm
  • 332.29 sq.cm
  • 300.29 sq.cm
  • 316.29 sq.cm
Question 6
6.
If the base radius of a cone is 10.00 cm and T.S.A is 737.00 sq.cm, its vertical height is
  • 8.00 cm
  • 11.00 cm
  • 7.00 cm
  • 10.00 cm
  • 9.00 cm
Question 7
7.
A solid consists of a right circular cylinder with a hemisphere on one end and a cone on the other . The radius and height of the cylindrical part are 7.50 cm and 25.50 cm respectively. The radii of the hemispherical and conical parts are the same as that of the cylindrical part. Calculate the volume of the solid, if the height of the conical part is 13.00 cm
  • 6028.04 cu.cm
  • 6418.04 cu.cm
  • 6158.04 cu.cm
  • 6188.04 cu.cm
  • 6008.04 cu.cm
Question 8
8.
If the slant height of a cone is 11.18 cm and L.S.A is 175.69 sq.cm, its vertical height is
  • 13.00 cm
  • 5.00 cm
  • 7.00 cm
  • 10.00 cm
  • 15.00 cm
Question 9
9.
If the volume of a sphere is 523.81 cu.cm, its T.S.A is
  • 326.29 sq.cm
  • 321.29 sq.cm
  • 306.29 sq.cm
  • 314.29 sq.cm
  • 298.29 sq.cm
Question 10
10.
From a solid cylinder of height 20.00 cm and base radius 9.00 cm, a conical cavity of height 6.00 cm and base radius 9.00 cm is drilled out. Find the volume of the resulting solid
  • 4712.29 cu.cm
  • 4582.29 cu.cm
  • 4762.29 cu.cm
  • 4362.29 cu.cm
  • 4432.29 cu.cm