The material of a cone is converted into the shape of a cylinder of equal radius. If the height of the cylinder is 5 cm, the height of cone is
10 cm
15 cm
18 cm
20 cm
If the volume and surface area of a sphere are numerically the same, then its radius is
1 unit
2 units
3 units
4 units
A vessel is in the form of an inverted cone. Its height is 11 cm and the radius of its top which is open is 2 . 5 cm. It is filled with water up to the rim. When lead shots, each of which is a sphere of radius 0.25 cm are dropped in to the vessel, 2/5 of the water flows out. Find the number of lead shots dropped in to the vessel
450
400
500
440
The volume of a square pyramid of base edge 12 centimetres and slant height 17 centimetres is
700 cm3
724 cm3
732 cm3
763 cm3
A toy in the shape of a square pyramid has base edge 25 centimeters and slant height 8 centimeters. Then its lateral surface area is
500 sq.cm
400 sq. cm
450 sq.cm
600 sq. cm
A toy is in the form of a cone mounted on a hemisphere with the same radius. The diameter of the base of the conical portion is 12 cm and its height is 8 cm. Then the surface area of the toy is _______.
414 cm2
414.48 cm2
415 cm2
415.48 cm2
A cylindrical tower is 5 m in diameter and 14 m high. The cost of white washing its curved surface at 50 paisa per m2 is
Rs. 90
Rs.97
Rs.100
Rs.110
A cylindrical vessel 60 cm in diameter is partially filled with water. A sphere, 30 cm in diameter is gently dropped into the vessel. To what further height will water in the cylinder rise ?
30 cm
40 cm
Can not be determined, since height of cylinder has not been given.
The surface area of a sphere whose radius is 2.1 metres.
55m2
58m2
55.44 m2
56 m2
The height of a cone is 16 cm. and the diameter of its base is 24 cm. Then the volume of the cone is
2413.71 cu.cm
2400 cu.cm
2450 cu.cm
2500 cu.cm