MEDIUM
10th West Bengal Board
IMPORTANT
Earn 100
The external diameter of a hemispherical bowl made of thick copper sheet is . By melting the bowl a solid cone of height is formed. What is the diameter of the cone?
Important Questions on Problems related to Different Solid Objects
MEDIUM
10th West Bengal Board
IMPORTANT
The external and internal radius of a hollow cylinder of height are and . By melting the cylinder a solid cone of half its height is formed. Find the radius of base of the cone.
MEDIUM
10th West Bengal Board
IMPORTANT
A cylindrical water tank is partly full of water. Its diameter of base is . If a cone of radius and height is completely immersed in the water tank, find the increase of water level in ?
MEDIUM
10th West Bengal Board
IMPORTANT
The radius of a cylinder and a sphere are and unit and height of the cylinder is equal to its diameter. If the ratio of the volume of the cylinder and the sphere is , then the value of is
MEDIUM
10th West Bengal Board
IMPORTANT
The ratio of the volumes of a cylinder and a cone is and the ratio of their heights is , then the ratio of their diameters is
MEDIUM
10th West Bengal Board
IMPORTANT
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
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 _____.
