MEDIUM
10th West Bengal Board
IMPORTANT
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The radius of a cylinder and a hemisphere is equal and their volumes are equal. The height of the hemisphere is greater than the height of the cylinder by

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Important Questions on Problems related to Different Solid Objects

EASY
10th West Bengal Board
IMPORTANT
The volume of a sphere is in cubic unit. The sphere is inscribed in a cube. The ratio of the volumes of the cube and the sphere is
EASY
10th West Bengal Board
IMPORTANT
By melting a solid right circular cylinder a solid sphere is made. The volumes of the cylinder and sphere are _____.
EASY
10th West Bengal Board
IMPORTANT
Radii of a right circular cylinder and a right circular cone are equal and their heights are also equal. The ratio of volumes of the cylinder and the cone is _____.
MEDIUM
10th West Bengal Board
IMPORTANT
The heights of a sphere and a right circular cylinder are the same. If their volumes are equal, the ratio of square of the radii of the sphere and the cylinder is _____.
MEDIUM
10th West Bengal Board
IMPORTANT

By melting a solid right circular cylinder, a solid right circular cone of same height as the cylinder is made. The ratio of the radii of the cylinder and the cone is  _____ : 3

EASY
10th West Bengal Board
IMPORTANT
The length of a cylinder is l and the radius of its cross-section is r. If the volume be equal to that of the sphere of the same radius, then the relation between r and l is _____.
EASY
10th West Bengal Board
IMPORTANT
The number of spherical solids each 2 cm in radius that can be cast from a solid iron cylinder of radius 4 cm and height 10 cm, is 15.
EASY
10th West Bengal Board
IMPORTANT

The two radii and the volumes of a sphere and a right circular cylinder are the same. The ratio of the height and the radius of the cylinder is 34.