If the radius of a cylinder is decreased by 50% and the height is increased by 50% to form a new cylinder… · ABC26GN4911

Subject: General Aptitude · Chapter: Volume and Surface Area

If the radius of a cylinder is decreased by 50\% and the height is increased by 50\% to form a new cylinder, the volume will be decreased by

(a)0\%

(b)25\%

(c)62.5\%

(d)75\%

Answer

Answer (as printed): C

Explanation

Let original radius $=r$ and original height $=h$. Original volume $=\pi r^{2} h$.

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

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