EASY
10th ICSE
IMPORTANT
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From a solid cylinder whose height is 16 cm and radius is 12 cm, a conical cavity of height 8 cm and of base radius 6 cm is hollowed out. Find the volume and total surface area of the remaining solid.

Important Questions on Cylinder, Cone and Sphere (Surface Area and Volume)

MEDIUM
10th ICSE
IMPORTANT

A circus tent is cylindrical to a height of 4 m and conical above it. If its diameter is 105 m and its slant height is 80 m, calculate the total area of canvas required. Also, find the total cost of canvas used at Rs 15 per metre if the width is 1.5 m.

 

EASY
10th ICSE
IMPORTANT

A circus tent is cylindrical to a height of 8 m surmounted by a conical part. If total height of the tent is 13 m and the diameter of its base is 24 m; calculate total surface area of the tent.
 

HARD
10th ICSE
IMPORTANT

A circus tent is cylindrical to a height of 8 m surmounted by a conical part. If total height of the tent is 13 m and the diameter of its base is 24 m; calculate area of canvas, required to make this tent allowing 10% of the canvas used for folds and stitching.

EASY
10th ICSE
IMPORTANT
A  cylindrical boiler, 2 m high, is 3.5 m in diameter. It has a hemispherical lid. Find the volume of its interior, including the part covered by the lid.π=227
MEDIUM
10th ICSE
IMPORTANT
A vessel is a hollow cylinder fitted with a hemispherical bottom of the same base. The depth of the cylindrical part is 423m and the diameter of hemisphere is 3.5 m. Calculate the capacity and the internal surface area of the vessel.π=227.
HARD
10th ICSE
IMPORTANT

A wooden toy is in the shape of a cone mounted on a cylinder as shown alongside. If the height of the cone is 24 cm, the total height of the toy is 60 cm and the radius of the base of the cone= twice the radius of the base of the cylinder = 10 cm; find the total surface area of the toy.[Take π = 3.14]

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HARD
10th ICSE
IMPORTANT
A cylindrical container with diameter of base 42 cm contains sufficient water to submerge a rectangular solid of iron with dimensions 22 cm X 14 cm X 10.5 cm. Find the rise in level of the water when the solid is submerged.
 π=227.
EASY
10th ICSE
IMPORTANT
Spherical marbles of diameter 1.4 cm are dropped into beaker containing some water and are fully submerged.The diameter of the beaker is 7 cm. Find how many marbles have been dropped in it if the water rises by 5.6 cm ?