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 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 ?
15 cm
30 cm
40 cm
Can not be determined, since height of cylinder has not been given.
A hemisphere of lead of radius 7 cm. is cast into a right circular cone of height 49 cm. Then the radius of base is
3.74 cm
4 cm
4.50 cm
5 cm
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
The diagram shows a square - based pyramid with base lengths 10 cm and height 12 cm. What is the surface area of the pyramid ?
260 cm2
340 cm2
360 cm2
400 cm2
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 ratio of total surface area to lateral surface area of a cylinder whose radius is 80 cm and height is 20 cm is
2 : 1
3 : 1
4 : 1
5 : 1
A pyramid has a square base of side 4 cm and a height of 9 cm. Then its volume is
48 cm3
52 cm3
27 cm3
81 cm3
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
The curved surface of a sphere is 1386 cm2. Its volume is
2772 cm3
4158 cm3
4851 cm3
5544 cm3
