A hollow metallic cylindrical tube has an internal radius of 7.50 cm and height 25.00 cm. The thickness of the metal is 5 cm .The tube is melted to cast into a right circular cone of height 17.00 cm. Find the radius of the cone.

If the slant height of a cone is 11.66 cm and L.S.A is 219.87 sq.cm, its vertical height is

If the vertical height of a cone is 5.00 cm and volume is 335.24 cu.cm, its base area is

If the slant height of a cone is 10.63 cm and vertical height is 8.00 cm, its L.S.A. is

An ice cream container has the shape of a right circular cylinder having inner diameter 26.00 cm and height 28.00 cm . The ice cream is filled into cones of diameter 11.00 cm and height 19.00 cm , having a hemispherical shape on the top. Find the number of such complete cones which can be filled with ice cream

A tent is in the form of a cylinder surmounted by a cone., The height of the tent above the ground is 26 m and the height of the cylindrical part is 16.00 m. If the diameter of the base is 38.00 m, find the quantity of canvas required to make the tent. Allow 17% extra for folds and for stitching.

A cone of maximum volume is carved out of a cube of edge 18.00 cm. Find the volume of the remaining material after the cone is carved out

If the volume of a sphere is 7241.14 cu.cm, its radius is

If the slant height of a cone is 12.73 cm and T.S.A is 614.65 sq.cm, its volume is

A wooden toy rocket is in the shape of a cone mounted on a cylinder. The height of the conical part is 5.00 cm , while the height of the cylindrical part is 10.00 cm. The base of the conical portion has a diameter of 6.00 cm while the base diameter of the cylindrical portion is 4.00 cm. If the conical portion is painted with gray and cylindrical portion with blue, find the area of the rocket painted with each of these colors

If the base radius of a cone is 6.00 cm and volume is 301.71 cu.cm, its T.S.A is

The radii of the ends of a frustum of a right circular cone 16.00 cm high are 15.00 cm and 9.00 cm. Its curved surface 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 13.50 cm and height is 28.50 cm. The radius of the hemisphere is 8.50 cm and the height of the cone is 16.00 cm. Find the volume of water left in the cylinder.

If the T.S.A of a sphere is 4538.29 sq.cm, its L.S.A is

If the volume of a sphere is 5577.52 cu.cm, its L.S.A is

If the base radius of a cone is 8.00 cm and vertical height is 10.00 cm, its L.S.A. is

The radii of the ends of a frustum of a right circular cone 13.00 cm high are 8.50 cm and 6.50 cm. Its total surface area is

An open cylindrical vessel of internal diameter 19.00 cm and height 20.00 cm stands on a horizontal table. Inside this is placed a solid metallic right circular cone, the diameter of whose base is 9.50 cm and height 20.00 cm and filled with water. If the cone is replaced by another cone whose height is 8.00 cm and base radius is 1.90 cm, find the drop in the water level.

If the base radius of a cone is 7.00 cm and T.S.A is 356.84 sq.cm, its volume is

If the base radius of a cone is 7.00 cm and vertical height is 10.00 cm, its base area is

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

A metallic sphere of radius 10.00 cm is melted to recast into the shape of a cylinder of radius 15.00 cm . Find the height of the cylinder.

If the base radius of a cone is 6.00 cm and volume is 339.43 cu.cm, its L.S.A. is

If the base radius of a cone is 9.00 cm and L.S.A is 360.08 sq.cm, its volume is

From a solid cylinder of height 19.00 cm and base radius 8.00 cm, a conical cavity of height 8.00 cm and base radius 8.00 cm is drilled out. Find the total surface area of the resulting solid