# Radius of the base of right circular cylinder is increased by 75% and height is decreased by 50% find the percent increase or decrease on curve surface

by nunu2

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by nunu2

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Let the radius and height of the cylinder be r and h

Curved surface area of cylinder = 2pie rh

Given radius increased by 75%, hence new radius = r+3r/4 = 7r/4

Height is decreased by 50%, hence new height = h-h/2 = h/2

Curved surface area of new cylinder = 2pie. 7r/4. h/2

Decrease in curved surface area = 2pie rh - 2pie. 7r/4. h/2= pie rh

Percent decrease = (pie rh/2pie rh) . 100 = 50%