ICSE Board Practice

ICSE Grade X - Cone and Sphere
Question 1
1.
A tent is in the form of a cylinder surmounted by a cone., The height of the tent above the ground is 30 m and the height of the cylindrical part is 19.00 m. If the diameter of the base is 40.00 m, find the quantity of canvas required to make the tent. Allow 18% extra for folds and for stitching.
  • 4551.85 sq.m
  • 4491.85 sq.m
  • 4331.85 sq.m
  • 4511.85 sq.m
  • 4681.85 sq.m
Question 2
2.
If the L.S.A of a sphere is 1521.14 sq.cm, its volume is
  • 5817.52 cu.cm
  • 5427.52 cu.cm
  • 5617.52 cu.cm
  • 5397.52 cu.cm
  • 5577.52 cu.cm
Question 3
3.
If the base radius of a cone is 5.00 cm and L.S.A is 135.14 sq.cm, its vertical height is
  • 7.00 cm
  • 9.00 cm
  • 5.00 cm
  • 8.00 cm
  • 6.00 cm
Question 4
4.
If the vertical height of a cone is 5.00 cm and volume is 188.57 cu.cm, its T.S.A is
  • 248.42 sq.cm
  • 274.42 sq.cm
  • 262.42 sq.cm
  • 247.42 sq.cm
  • 260.42 sq.cm
Question 5
5.
The radii of the ends of a frustum of a right circular cone 11.00 cm high are 10.00 cm and 3.50 cm. Its total surface area is
  • 894.89 sq.cm
  • 877.89 sq.cm
  • 909.89 sq.cm
  • 900.89 sq.cm
  • 882.89 sq.cm
Question 6
6.
If the base radius of a cone is 9.00 cm and slant height is 10.30 cm, its base area is
  • 254.57 sq.cm
  • 251.57 sq.cm
  • 280.57 sq.cm
  • 242.57 sq.cm
  • 268.57 sq.cm
Question 7
7.
If the T.S.A of a sphere is 5028.57 sq.cm, its volume is
  • 35723.81 cu.cm
  • 32823.81 cu.cm
  • 33923.81 cu.cm
  • 32323.81 cu.cm
  • 33523.81 cu.cm
Question 8
8.
If the vertical height of a cone is 9.00 cm and volume is 235.71 cu.cm, its L.S.A. is
  • 145.86 sq.cm
  • 161.86 sq.cm
  • 179.86 sq.cm
  • 184.86 sq.cm
  • 136.86 sq.cm
Question 9
9.
If the base radius of a cone is 9.00 cm and L.S.A is 360.08 sq.cm, its volume is
  • 788.71 cu.cm
  • 756.71 cu.cm
  • 735.71 cu.cm
  • 769.71 cu.cm
  • 763.71 cu.cm
Question 10
10.
If the base radius of a cone is 5.00 cm and slant height is 8.60 cm, its volume is
  • 175.33 cu.cm
  • 171.33 cu.cm
  • 187.33 cu.cm
  • 196.33 cu.cm
  • 183.33 cu.cm