Question

a right circular cylinder and a right circular cone have equal bases and equal heights.if their curved surfaces are in the ratio 8:5,show that the ratio of the radius of the base to the height is 3:4 for each of them

Answer 1

Hey here is your answer

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Let height be 'h' and radius be 'r' and length be 'l'

Area of circular cone = πrl

area of cylinder = 2πrh

A/Q

2πrh/πrl = 8/5

5h = 4l

5h = 4√r² + h²

since ..l = √h² + r²

25h² = 16( r² + h²)

25h² - 16h² = 16r²

9h² = 16r²

r²/h² = 9/16

r²/h² = 3:4

Since the ratio is 3:4..

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I Hope it will help you

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