From a solid cylinder of height 16.00 cm and base radius 8.50 cm, a conical cavity of height 6.00 cm and base radius 8.50 cm is drilled out. Find the volume of the resulting solid

A conical vessel, whose internal radius is 12.50 cm and height 21.00 cm, is full of liquid . Its contents are emptied into a cylindrical vessel with internal radius 7.00 cm. Find the height to which the liquid rises in the cylindrical vessel.

From a circular cylinder of diameter 17.00 cm and height 13.00 cm, a conical cavity of the same base radius and of the same height is hollowed out. Find the volume of the remaining solid.

A cone of maximum volume is carved out of a cube of edge 20.00 cm. Find the volume of the remaining material after the cone is carved out

A cone of maximum volume is carved out of a cuboid of dimensions 18.00 cm✕18.00 cm✕26.00 cm. Find the volume of the cone

An open cylindrical vessel of internal diameter 28.00 cm and height 21.00 cm stands on a horizontal table. Inside this is placed a solid metallic right circular cone, the diameter of whose base is 14.00 cm and height 21.00 cm and filled with water. If the cone is replaced by another cone whose height is 12.60 cm and base radius is 4.20 cm, find the drop in the water level.

A cylindrical vessel of base radius 21.00 cm contains water . A solid sphere of radius 19.00 cm is immersed completely in the water. Find the rise in the water level in the vessel

Marbles of diameter 1.80 cm are dropped into a cylindrical beaker containing some water. When they are fully submerged, the water level rises by 10.8 cm. If the diameter of the beaker is 36.00 cm, find the number of marbles that are dropped in it

A solid consisting of a right circular cone, standing on a hemisphere is placed upright, in a right circular cylinder full of water and touches the bottom. The radius of the cylinder is 11.00 cm and height is 19.00 cm. The radius of the hemisphere is 8.00 cm and the height of the cone is 11.00 cm. Find the volume of water left in the cylinder.

A conical vessel of radius 8.00 cm and height 15.00 cm is completely filled with water. A sphere is lowered into the water and its size is such that when it touches the sides, it is just immersed. Find the fraction of the water that overflows

A well of diameter 18.00 m is dug to a depth of 16.00 m and the soil from digging is evenly spread out to form a platform of base dimensions 21.00 m✕31.00 m . Find the height of the platform

A well of diameter 15.00 m is dug to a depth of 12.00 m . The soil taken out of it has been spread evenly all around it in the shape of a circular ring of width 5m to form an embankment. Find the height of the embankment.

An ice cream container has the shape of a right circular cylinder having inner diameter 32.00 cm and height 34.00 cm . The ice cream is filled into cones of diameter 20.00 cm and height 16.00 cm , having a hemispherical shape on the top. Find the number of such complete cones which can be filled with ice cream

Water in a canal, 9 m wide and 2 m deep is flowing with a speed of 16 kmph . How much area will it irrigate in 10 min, if 10 cm of standing water is needed ?