MATHS TEST FOR CBSE STD IX ( CONES)

Tel: 04812790195 e-mail: gntsgeorge@yahoo.co.in Mobile:9497819889 1]A right circular cone is 84 cm high. The radius of its base is 35 cm. Find the volume and curved surface area of the cone 2] The diameter of a right circular cone is 12 cm and the slant height is 10 cm. Find its (i) curved surface area (ii) total surface area. 3] The height of a right circular cone is 12 cm. If its volume is 100 cu.cm, find the slant height of the cone. 4] The circumference of the base of a 24 m high conical tent is 44 m. Calculate the area of the canvas used to make the curved surface of the cone. 5] The radius and the slant height of a cone are in the ratio 4 : 7. If its curved surface area is 792 cm2, find the radius of the cone. 6] Find the weight of a solid cone whose base is of diameter is 4cm and vertical height 51 cm, supposing that the material of which it is made weighs 10 g per cubic centimetre. 7]Given that the volume of a cone is 2355 cm3 and the area of the base as 314 cm2. Find the height of the cone. 8] The total surface area of a cone is 770 sq.cm. If its slant height is four times the radius of the cone, find the diameter of the cone. 9] Find the volume of the largest right circular cone that can be cut out of a cube whose edge is 9 cm. 10] A tent is in the shape of a right circular cylinder up to a height of 3 meter and then becomes a right circular cone with a maximum height of 13.5 meters above the ground. Calculate the cost of painting the inner side of the tent at Rs 20 per square metres, if the radius of the base is 14 meters. 11]. The interior of a building is in the form of a right circular cylinder of diameter 4.2 m and height 4 m surmounted by a cone. The vertical height of cone is 2.1 m. Find the outer surface area and volume of the building. 12] A cylindrical container of radius 6cm and height 15 cm was full of ice-cream. The whole ice-cream was sufficient enough to distribute to a group of children in equal cones with radius 3cm and height 5 cm. How many children were in the group assuming that all cones were fully filled with ice-cream?