If the volume of a cube is 4913.00 cu.cm, its side is

From a circular cylinder of diameter 11.00 cm and height 14.00 cm, a conical cavity of the same base radius and of the same height is hollowed out. Find the total surface area of the remaining solid.

A cone of maximum volume is carved out of a cuboid of dimensions 13.00 cm✕13.00 cm✕16.00 cm. Find the volume of the cone

A hollow sphere of internal and external diameters 24.00 cm and 32.00 cm respectively is melted into a cone of base diameter 8.00 cm. Find the height of the cone

If the radius of a cylinder is 7.00 cm and height is 16.00 cm, its volume is

A hollow metallic cylindrical tube has an internal radius of 8.00 cm and height 14.00 cm. The thickness of the metal is 1 cm .The tube is melted to cast into a right circular cone of height 9.00 cm. Find the radius of the cone.

If the L.S.A of a triangular prism is 735.00 sq.cm, base area is 53.51 sq.cm and base perimeter is 35.00 cm, its volume is

A well of diameter 12.00 m is dug to a depth of 12.00 m and the soil from digging is evenly spread out to form a platform of base dimensions 14.00 m✕21.00 m . Find the height of the platform

The height of a right circular cone is 20.00 cm and the radius of its base is 11.50 cm. It is melted and recast into a right circular cone with base radius 9.20 cm. Find the new height

If the length, height and T.S.A of a cuboid are 20.00 cm, 11.00 cm and 1494.00 sq.cm respectively, its L.S.A is

If the length, breadth and height of a cuboid are 10.00 cm, 5.00 cm and 9.00 cm respectively, its volume is

A metallic sphere of radius 19.00 cm is melted to recast into the shape of a cylinder of radius 24.00 cm . Find the height of the cylinder.

Metallic spheres of radii 5.00 cm, 14.00 cm are melted to form a single solid sphere. Find the radius of the resulting sphere.

If the length, height and L.S.A of a cuboid are 16.00 cm, 20.00 cm and 1040.00 sq.cm respectively, its breadth is

If the length, height and T.S.A of a cuboid are 16.00 cm, 17.00 cm and 1138.00 sq.cm respectively, its volume is

If the base radius of a cone is 8.00 cm and vertical height is 6.00 cm, its T.S.A is

If the length, breadth and L.S.A of a cuboid are 20.00 cm, 15.00 cm and 1190.00 sq.cm respectively, its T.S.A 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 10.00 cm and height is 26.00 cm. The radius of the hemisphere is 8.00 cm and the height of the cone is 18.00 cm. Find the volume of water left in the cylinder.

A cone of maximum volume is carved out of a cube of edge 9.00 cm. Find the volume of the cone

An open cylindrical vessel of internal diameter 12.00 cm and height 19.00 cm stands on a horizontal table. Inside this is placed a solid metallic right circular cone, the diameter of whose base is 6.00 cm and height 19.00 cm and filled with water. If the cone is replaced by another cone whose height is 5.70 cm and base radius is 1.80 cm, find the drop in the water level.

A conical vessel, whose internal radius is 10.50 cm and height 19.00 cm, is full of liquid . Its contents are emptied into a cylindrical vessel with internal radius 6.00 cm. Find the height to which the liquid rises in the cylindrical vessel.

If the L.S.A of a cube is 1296.00 sq.cm, its side is

A copper rod of diameter 1.80 cm and length 12.00 cm is drawn into a wire of length 476.28 m of uniform thickness. Find the thickness of the wire.

If the L.S.A of a triangular prism is 1800.00 sq.cm, base area is 39.69 sq.cm and base perimeter is 30.00 cm, its T.S.A is

If the length, height and L.S.A of a cuboid are 20.00 cm, 13.00 cm and 910.00 sq.cm respectively, its volume is