Radius and slant height of a solid right circular cone are 35cm and 37cm respectively,Find the curved surface area and total surface area of the cone.

The base area of a cone is 25pi cm, curved surface area 165pi . Calculate total surface area.

Prove that for a cone made by rolling up a semicircle, the curved surface area is twice the base area.

The radius and height of wax made cylinder are '6 cm' and '12 cm' respectively. A cone of same base radius and height has been made from this cylinder by cutting out. a) Find the volume of cone. b) How many candles with '1 cm' radius and '12 cm' height can be made using the remaining wax?

In the newly constructed auditorium in the school, there are 8 cylindrical shaped pillars of same size. Each pillar has a height of 4 cm . Dlameter of the pillar is 1 meter. i. Find the curved surface area of a pillar. ii. Find the curved surface area of 8 pillars. iii. If it cost 160 rupees to paint one square metre, how much will it cost?

a) Radius of a cylinder is 10 cm and its height is 5 cm . Find the base area and the curved surface area of the cylinder. b) The curved surface area of a cylinder is equal to its base area and its height is 12 cm . What is its radius?

Find the ratio between the radius and slant height of a cone by rolling up a sector with central angle 120^circ . If the curved surface area is '108 pi'. - Find the radius and slant height of the cone.

Prove that the radius of the right circular cylinder of greatest curved surface area which can be inscribed in a given cone is half of that of the cone.

Show that the right circular cone of least curved surface and given volume has an altitude equal to sqrt2 times the radius of the base.

Calculate the surface area and volume of a sphere of radius '3 cm .'