Quantitative Apitude-Volume & Surface Area
Quantitative Apitude-Volume & Surface Area
51. A sphere of radius 6.3 cm is melted and cast into a right circular cone of height 25.2 cm. The radius of the base of the cone is :
- 4.2 cm
- 1.4 cm
- 3.5 cm
- 6.3 cm
52. If the height and diameter of a right circular cylinder are 32 cm and 6 to the volume of the cylinder is :
- 3 cm
- 4 cm
- 6 cm
- None
53. A hemisphere of lead of radius 6 cm is cast into a right circular cone of height 75 cm. The radius of the base of the cone is :
- 1.4 cm
- 2 cm
- 2.4 cm
- 4.2 cm
54. The diameter and the slant height of a conical tomb are 28 m and 50 m respectively. The cost of whitewashing its curved surface at the rate of 80 paise per square metre is :
- Rs, 2640
- Rs. 1760
- Rs. 264
- Rs. 176
55. The height and the radius of the base of a cone are each increased by 100%. The volume of the new cone becomes how many times of the volume of the original cone ?
- 8 times
- 6 times
- 4 times
- 3 times
56. A right cylinder and a righ circular cone have the same radius and the same volume. The ratio of the height f the cylinder to that of the cone is :
- 3 : 5
- 2 : 5
- 3 : 1
- 1 : 3
57. A right cylindrical vessel is full of water. How many right cones having the same radius and heights as those of the right cylinder will be needed to store that water ?
- 2
- 3
- 4
- 8
58. A cylindrical piece of metal of radius 2 cm and height 6 cm is shaped into a cone of same radius. The height of the cone is :
- 8 cm
- 12 cm
- 14 cm
- 18 cm
59. The length of canvas 1.1 m wider required to build a coical tent of height 14 m and the floor area 346.5 sq.m is :
- 525 m
- 490 m
- 665 m
- 860 m
60. How many metres of cloth 2.5 m wide will be required to make a conical tent whose base radius is 7 m and height is 24 m ?
- 120 m
- 180 m
- 220 m
- 550 m