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WBCS Main Examination 2023 — Paper VI: Arithmetic and Test of Reasoning · Question 185 of 200

Q185
ArithmeticGeometry & Mensuration
Keeping the radius of a right circular cone same, if the height of its increased thrice, the volume of it will be increased by:
  1. a.100%
  2. b.200%
  3. c.300%
  4. d.400%

Answer: (B) 200%

With the radius fixed, the cone's volume $\frac{1}{3}\pi r^2 h$ is proportional to its height. Making the height three times the original makes the volume three times too, an increase of 200%. 300% confuses 'three times' with 'an increase of three times'.

Keeping the radius of a right circular cone same, if the height of … — WBCS Main Examination 2023 Q185 | Prostuti360°