The radius and height of a solid cylinder is increased by 25% each. What is the percentage change in its volume?
Answer & explanation
Correct answer: option 3
Vol. of cylinder = \(\pi \)r2h
25% = \(\frac{1}{4}\)
Actual : New
Radius: 4 : 5
Height: 4 : 5
Vol. : \(\pi \)R2H : \(\pi \)r2h
: 42 . 4 : 52 . 5 = 64 : 125
⇒ Vol. increased by = 125 - 64 = 61
⇒ Increased percentage = \(\frac{61}{64}\) × 100 = 95.31%