If the height of a right circular cone is increased by 200% and the radius of the base is reduced by 50%… · ABC26GN4960

Subject: General Aptitude · Chapter: Volume and Surface Area

If the height of a right circular cone is increased by 200\% and the radius of the base is reduced by 50\%, then the volume of the cone

(a)remains unaltered

(b)decreases by 25\%

(c)increases by 25\%

(d)increases by 50\%

Answer

Answer (as printed): B

Explanation

Let the original radius and height of the cone be $r$ and $h$ respectively. Then, original volume $=\frac{1}{3} \pi r^{2} h$.

Explanation as extracted from the printed page; notation may be imperfect.

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