The radius and height of a solid cylinder is increased by 25% each. What is the percentage change in its volume?

95.31 %

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%