Volume & Surface Area Questions and Answers

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Q41
Three sphereical metal balls of radii 6 cm, 8 cm and R cm are melted into a solid sphere of rdius 12 cm. The value of R is :
  • A 8 cm
  • B 10 cm
  • C 14 cm
  • D 18 cm
Answer: Option B
Q42
If the volume of a sphere is divided by its surface area, the result is 27 cm. The radius of the sphere is :
  • A 81 cm
  • B 9 cm
  • C 54 cm
  • D 36 cm
Answer: Option A
Q43
A cone and a sphere have equal radii and equal volumes. The ratio of the diameter of the sphere to the height of the cone is :
  • A 3 : 1
  • B 1 : 3
  • C 6 : 1
  • D 1 : 2
Answer: Option D
Q44
The radius of a sphere is increased by 50%. The increase in the surface area of the sphere is :
  • A 100%
  • B 125 %
  • C 150 %
  • D None
Answer: Option D
Q45
How many bullets can be made out of a cube of lead whose edge measures 22 cm, each bulet being 2 cm in diameter ?
  • A 5324
  • B 2662
  • C 1347
  • D 2541
Answer: Option D
Q46
A Spherical ball of lead, 3 cm in diameter is melted and recast into three spherical balls. the diameter of two of these are 1.5 cm  and 2 cm respectively. The diameter of the third ball is :
  • A 2.66 cm
  • B 2.5 cm
  • C 3 cm
  • D 3.5 cm
Answer: Option B
Q47
If the radius of a sphere is doubled, then its surface area is increased by :
  • A 50%
  • B 100%
  • C 200%
  • D 300%
Answer: Option D
Q48
If a solid sphere of radius 10 cm is moulded into 8 spherical solid balls of equal radius, then the radius of each such ball is :
  • A 1.25 cm
  • B 2.5 cm
  • C 3.75 cm
  • D 5 cm
Answer: Option D
Q49
How many lead shots each 0.3 cm in diameter can be made from a cuboid of dimensions 9 cm x 11 cm x 12 cm ?
  • A 7200
  • B 8400
  • C 84000
  • D 72000
Answer: Option C
Q50
A metallic right circular cones having their heights 4.1 cm and 4.3 cm and the radii of their bases 2.1 cm each, have been melted together and recast into a sphere. the diameter of the sphere is :
  • A 4.2 cm
  • B 1.4 cm
  • C 3.5 cm
  • D 6.3 cm
Answer: Option A
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