📝 SSC CGL🔢 Quantitative Aptitude

If the radius of the cylinder is increased by 25%, then by how much percent the height must be reduced, so that the volu…

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If the radius of the cylinder is increased by 25%, then by how much percent the height must be reduced, so that the volume of the cylinder remains same?
a36
b56
c64
d46
✓ Correct answer: a) 36
ExplanationLet, Initial radius = a, initial height = h, and final height = H According to the question, the radius increased by 25 % Final radius = a+a =1.25a Volume is same So, Initial Volume = Final Volume h= H=(0.64)h Difference in height = h – 0.64h = 0.36h Required decrease Percentage of height = [0.36h/h] 100=36 % Hence, Option A is the correct answer.

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