Volume & Surface Area Questions and Answers

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Q71
A cylindrical tub of radius 12 cm contains water upto a depth of 20 cm. A spherical iron ball is dropped into the tub and thus the level of water is raised by 6.75cm. The radius of the ball is :
  • A 4.5 cm
  • B 6 cm
  • C 7.25 cm
  • D 9 cm
Answer: Option D
Q72
A hemispherical bowl of internal radius 9 cm contains a liquid. This liquid is to be filled into cylindrical shaped small bottles of diameter 3 cm and height 4 cm. How many bottles will be needed to empty the bows ?
  • A 27
  • B 35
  • C 54
  • D 63
Answer: Option C
Q73
A cone of height 7 cm and base radius 3 cm is carved from a rectangular block of wood 10 cm x 5 cm x 2 cm. The percentage of wood wasted is :
  • A 34%
  • B 46%
  • C 54%
  • D 66%
Answer: Option A
Q74
If the height of a cone is doubled, then its volume is increased by :
  • A 100%
  • B 200%
  • C 300%
  • D 400%
Answer: Option A
Q75
The radius of a cylinder is the same as that of sphere. Their volumes are equal. The height of the cylinder is how many times its radius ?
  • A 4/3
  • B 2/3
  • C 1
  • D 2
Answer: Option A
Q76
The material of a cone is converted into the shape of cylinder of equal radius. If the height of the cylinder is 6 cm, the height of the cone is :
  • A 2 cm
  • B 6 cm
  • C 18 cm
  • D 36 cm
Answer: Option C
Q77
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:
  • A 15360
  • B 153600
  • C 30720
  • D 307200
Answer: Option B
Q78
An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is:
  • A 2%
  • B 2.02%
  • C 4%
  • D 4.04%
Answer: Option D
Q79
The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?
  • A 16 cm
  • B 18 cm
  • C 24 cm
  • D Data inadequate
Answer: Option B
Q80
The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is:
  • A 40%
  • B 42%
  • C 44%
  • D 46%
Answer: Option C
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