From a circular cylinder of diameter 15.00 cm and height 11.00 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 cuboid of dimensions 10.00 cm✕10.00 cm✕18.00 cm. Find the volume of the cone

A conical vessel, whose internal radius is 6.50 cm and height 6.00 cm, is full of liquid . Its contents are emptied into a cylindrical vessel with internal radius 4.00 cm. Find the height to which the liquid rises in the cylindrical vessel.

If the volume of a sphere is 2145.52 cu.cm, its radius is

If the slant height of a cone is 10.82 cm and vertical height is 9.00 cm, its T.S.A is

If the T.S.A of a sphere is 2124.57 sq.cm, its radius is

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

If the L.S.A of a triangular prism is 2052.00 sq.cm, T.S.A is 2155.92 sq.cm and height is 57.00 cm, its base area is

If the length, breadth and volume of a cuboid are 15.00 cm, 14.00 cm and 2310.00 cu.cm respectively, its height is

If the length, height and T.S.A of a cuboid are 11.00 cm, 12.00 cm and 724.00 sq.cm respectively, its volume is

A solid consists of a cylinder with one hemispherical end with length 39.00 cm and diameter 20.00 cm. Find the total surface area of the solid

If the L.S.A of a sphere is 4073.14 sq.cm, its T.S.A is

If the base radius of a cone is 10.00 cm and slant height is 11.66 cm, its L.S.A. is

If the length, breadth and T.S.A of a cuboid are 20.00 cm, 17.00 cm and 1420.00 sq.cm respectively, its L.S.A is

If the side of a cube is 19.00 cm, its T.S.A is

If the base radius of a cone is 8.00 cm and vertical height is 5.00 cm, its base area is

If the radius of a sphere is 20.00 cm, its volume is

An open cylindrical vessel of internal diameter 13.00 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 6.50 cm and height 21.00 cm and filled with water. If the cone is replaced by another cone whose height is 14.70 cm and base radius is 0.97 cm, find the drop in the water level.

If the three sides of a triangular prism are 7.00 cm, 11.00 cm, 11.00 cm and L.S.A is 957.00 sq.cm, its T.S.A is

If the radius of a cylinder is 13.00 cm and height is 20.00 cm, its T.S.A is

If the volume of a sphere is 9206.48 cu.cm, its T.S.A is

The surface area of a solid metallic sphere is 7857.14 sq.cm. It is melted and recasted into solid right circular cones of radius 10.00 cm and height 10.00 cm . Find the number of complete cones that can be made

If the three sides of a triangular prism are 7.00 cm, 6.00 cm, 9.00 cm and height is 48.00 cm, its base area is

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 12.00 cm and height is 32.00 cm. The radius of the hemisphere is 10.00 cm and the height of the cone is 18.00 cm. Find the volume of water left in the cylinder.