Volume & Surface Area Questions and Answers

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Q61
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 :
  • A 1 : 5
  • B 5 : 4
  • C 5 : 16
  • D 25 : 64
Answer: Option D
Q62
Volume of a hemisphrere is 19404 cu. cm. Its radius is :
  • A 10.5 cm
  • B 21 cm
  • C 17.5 cm
  • D 42 cm
Answer: Option B
Q63
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 :
  • A 1/2 m
  • B 2/3 m
  • C 3/4 m
  • D 3/5 m
Answer: Option B
Q64
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 :
  • A 9 : 8
  • B 3 : 4
  • C 8 : 9
  • D 4 : 3
Answer: Option A
Q65
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 :
  • A 12 cm
  • B 24 cm
  • C 36 cm
  • D 48 cm
Answer: Option C
Q66
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 :
  • A 450
  • B 1350
  • C 4500
  • D 13500
Answer: Option D
Q67
if the ratio of volumes of two spheres is 1 ; 8, then the ratio their surface arreas is :
  • A 1 : 2
  • B 1 : 4
  • C 1 : 8
  • D 1 : 16
Answer: Option B
Q68
If the surface areas of two spheres are in the ratio of 4 : 25, then the ratio of their volumes is :
  • A 4 : 25
  • B 25 : 4
  • C 125 : 8
  • D 8 : 125
Answer: Option D
Q69
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 ?
  • A 55 min
  • B 52 min . 1 sec
  • C 51 min. 12 sec
  • D 48 min. 15 sec.
Answer: Option C
Q70
A cone, a hemisphere and a cylinder stand on equal bases and have the same height. The ratio of their volumes is :
  • A 1 : 2 : 3
  • B 2 : 1 : 3
  • C 2 : 3 : 1
  • D 3 : 2 : 1
Answer: Option A
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