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The number of surfaces of a cone has, is

A cone has two surfaces,

(i) Curved surface

(ii) Circular base

The height of a cone is 15 cm. If its volume is 500π cm^{3}, then find the radius of its base.

If the volume of a right circular cone of height 9 cm is 48π cm^{3}, find the diameter of its base.

If the height and slant height of a cone are 21 cm and 28 cm respectively. Find its volume.

The height of a conical vessel is 3.5 cm. If its capacity is 3.3 litres of milk. Find the diameter of its base.

If the radius and slant height of a cone are in the ratio 7 : 13 and its curved surface area is 286 cm^{2}, find its radius.

Find the area of canvas required for a conical tent of height 24 m and base radius 7 m.

Find the area of metal sheet required in making a closed hollow cone of base radius 7 cm and height 24 cm.

Find the length of cloth used in making a conical pandal of height 100 m and base radius 240 m, if the cloth is 100π m wide.

The area of the curved surface of a cone of radius 2r and slant height , is

The total surface area of a cone of radius and length 2l, is

A solid cylinder is melted and cast into a cone of same radius. The heights of the cone and cylinder are in the ratio

The slant height of a cone is increased by 10%. If the radius remains the same, the curved surface area is increases by

The height of a solid cone is 12 cm and the area of the circular base is 64π cm^{2}. A plane parallel to the base of the cone cuts through the cone 9 cm above the vertex of the cone, the area of the base of the new cone so formed is

If the radius of the base of a right circular cone is 3r and its height is equal to the radius of the base, then its volume is

If the volume of two cones are in the ratio 1 : 4 and their diameters are in the ratio 4 : 5, then the ratio of their heights, is

The curved surface area of one cone is twice that of the other while the slant height of the latter is twice that of the former. The ratio of their radii is

If the height and radius of a cone of volume V are doubled, then the volume of the cone is,

The ratio of the volume of a right circular cylinder and a right circular cone of the same base and height, is

A right circular cylinder and a right circular cone have the same radius and the same volume. The ratio of the height of the cylinder to that of the cone is

If the base radius and the height of a right circular cone are increased by 20%, then the percentage increase in volume is approximately

The diameters of two cones are equal. If their slant heights are in the ratio 5 : 4, the ratio of their curved surface areas, is

If h, S and V denote respectively the height, curved surface area and volume of a right circular cone, then 3πVh^{3}-S^{2}h^{2}+9V^{2} is equal to

If a cone is cut into two parts by a horizontal plane passing through the mid-point of its axis, the ratio of the volumes of upper and lower part is

If the heights of two cones are in the ratio of 1 : 4 and the radii of their bases are in the ratio 4 : 1, then the ratio of their volumes is