Question
If the radius and height of a right circular cylinder
are increased by 22% and 28%, respectively, what is the percentage increase in its volume? (Use π = 22/7)Solution
According to the question: Let the radius and height of the right circular cylinder be '9x' and '9y' units, respectively. Volume of the right circular cylinder = π X radius² X height So, volume of the right circular cylinder = π X (9x)² X (9y) = '729πxy' cubic units New radius = 1.22 X 9x = '10.98x' units New height = 1.28 X 9y = '11.52y' units So, new volume of the right circular cylinder = π X (10.98x)² X (11.52y) = '1,388.15πxy' cubic units Therefore, percentage increase = {(1,388.15xyπ - 729xyπ) ÷ 729xyπ} X 100 = 90.5%
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