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 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
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
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 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 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.
The diagram shows a square - based pyramid with base lengths 6 cm and height 8 c.m. What is the volume of the pyramid ?
64 cm2
96 cm3
144 cm3
288 cm3
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
The height of a cylinder tower is 14 cm and its curved surface area is 264 cm2. The radius of its base is
3 cm
2.4 cm
12.4 cm
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
