If the height of a right circular cylinder is increased by 125% and its base radius reduced by 33.33%, Then finds the percentage change in its volume?

Volume of cylinder = πr²h. Height increased by 125% means new height = h + 1.25h = 2.25h. Base radius reduced by 33.33% means new radius = r - r/3 = 2r/3. New volume = π(2r/3)²(2.25h) = π(4r²/9)(2.25h) = πr²h × (4/9)(9/4) = πr²h × 1 = original volume. Therefore, there is no change in volume, making option A correct. The 125% increase and 33.33% decrease are carefully chosen to cancel out.