Quantitative Apitude-Volume & Surface Area
Quantitative Apitude-Volume & Surface Area
61. It the volumesd of two cones are in the ratio of 1 : 4 and their diameters are in the ratio of 4: , then the rratio of their heights is :
- 1 : 5
- 5 : 4
- 5 : 16
- 25 : 64
62. Volume of a hemisphrere is 19404 cu. cm. Its radius is :
- 10.5 cm
- 21 cm
- 17.5 cm
- 42 cm
63. A well with 14 m inside diameter is dug 10 m deep. Earth taken out of it has been evently spread all around it to a width of 21 m to form an embankment. The height of the embankment is :
- 1/2 m
- 2/3 m
- 3/4 m
- 3/5 m
64. The radii of the bases of a cylinder nd a cone are in the ratio of 3 : 4 and their heights are in the ratio 2 : 3. Their volumes are in the ratio of :
- 9 : 8
- 3 : 4
- 8 : 9
- 4 : 3
65. A cylindrical vessel 32 cm high and 18 cm as radius o the base is filled with sand. This is emptied on the ground and a conical heap of sand formed . if the height of the conical heap is 24 cm, the radius of its base is :
- 12 cm
- 24 cm
- 36 cm
- 48 cm
66. A solid metallic cylinder of base radius 3 cm and height 5 cm is melted to form cones, each of height 1 cm and base radius 1 mm. the number of cones is :
- 450
- 1350
- 4500
- 13500
67. if the ratio of volumes of two spheres is 1 ; 8, then the ratio their surface arreas is :
- 1 : 2
- 1 : 4
- 1 : 8
- 1 : 16
68. If the surface areas of two spheres are in the ratio of 4 : 25, then the ratio of their volumes is :
- 4 : 25
- 25 : 4
- 125 : 8
- 8 : 125
69. Water flows at the rate of 10 metres per minute from a cylindrical pipe 5 mm in diameter. How long will it take to fill up a conical vessel whose diameter at the base is 40 cm and depth 24 cm ?
- 55 min
- 52 min . 1 sec
- 51 min. 12 sec
- 48 min. 15 sec.
70. A cone, a hemisphere and a cylinder stand on equal bases and have the same height. The ratio of their volumes is :
- 1 : 2 : 3
- 2 : 1 : 3
- 2 : 3 : 1
- 3 : 2 : 1