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
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
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
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
4 cm
2.4 cm
12.4 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 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 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
The curved surface of a sphere is 1386 cm2. Its volume is
2772 cm3
4158 cm3
4851 cm3
5544 cm3
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.