If the base radius of a cone is 10.00 cm and T.S.A is 737.00 sq.cm, its L.S.A. is

A wooden toy rocket is in the shape of a cone mounted on a cylinder. The height of the conical part is 13.00 cm , while the height of the cylindrical part is 26.00 cm. The base of the conical portion has a diameter of 12.00 cm while the base diameter of the cylindrical portion is 8.00 cm. If the conical portion is painted with red and cylindrical portion with orange, find the area of the rocket painted with each of these colors

A conical vessel of radius 6.00 cm and height 8.00 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

The surface area of a solid metallic sphere is 11314.29 sq.cm. It is melted and recasted into solid right circular cones of radius 9.00 cm and height 9.00 cm . Find the number of complete cones that can be made

A tent is in the form of a cylinder surmounted by a cone., The height of the tent above the ground is 34 m and the height of the cylindrical part is 19.00 m. If the diameter of the base is 28.00 m, find the quantity of canvas required to make the tent. Allow 6% extra for folds and for stitching.

The radii of the ends of a frustum of a right circular cone 16.00 cm high are 7.00 cm and 5.00 cm. Its volume is

From a circular cylinder of diameter 18.00 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.

If the base radius of a cone is 6.00 cm and slant height is 10.82 cm, its vertical height is

If the slant height of a cone is 14.14 cm and T.S.A is 758.69 sq.cm, its vertical height is

If the slant height of a cone is 12.81 cm and L.S.A is 402.60 sq.cm, its base radius is

If the base radius of a cone is 6.00 cm and L.S.A is 173.86 sq.cm, its vertical height is

If the base radius of a cone is 10.00 cm and slant height is 11.18 cm, its L.S.A. is

Water in a canal, 10 m wide and 2 m deep is flowing with a speed of 14 kmph . How much area will it irrigate in 20 min, if 2 cm of standing water is needed ?

If the vertical height of a cone is 9.00 cm and volume is 603.43 cu.cm, its L.S.A. is

An ice cream container has the shape of a right circular cylinder having inner diameter 38.00 cm and height 40.00 cm . The ice cream is filled into cones of diameter 14.00 cm and height 13.00 cm , having a hemispherical shape on the top. Find the number of such complete cones which can be filled with ice cream

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 21.00 cm. The radius of the hemisphere is 7.00 cm and the height of the cone is 11.00 cm. Find the volume of water left in the cylinder.

A hollow metallic cylindrical tube has an internal radius of 8.00 cm and height 23.00 cm. The thickness of the metal is 4 cm .The tube is melted to cast into a right circular cone of height 16.00 cm. Find the radius of the cone.

If the slant height of a cone is 12.81 cm and T.S.A is 716.89 sq.cm, its base radius is

If the radius of a sphere is 17.00 cm, its volume is

A metallic sphere of radius 18.00 cm is melted to recast into the shape of a cylinder of radius 21.00 cm . Find the height of the cylinder.

A cone of maximum volume is carved out of a cuboid of dimensions 26.00 cm✕26.00 cm✕20.00 cm. Find the volume of the cone

A cone of maximum volume is carved out of a cube of edge 14.00 cm. Find the volume of the cone

If the T.S.A of a sphere is 1521.14 sq.cm, its volume is

A solid consists of a cylinder with one hemispherical end with length 32.00 cm and diameter 18.00 cm. Find the total surface area of the solid

If the base radius of a cone is 8.00 cm and slant height is 10.00 cm, its base area is