The radii of two right circular cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 4. Find the ratio of their curved surface areas.

Asked by Topperlearning User | 21st Mar, 2014, 03:38: PM

Expert Answer:

Let r1 = 2x, r2 = 3x

h1 = 5h, h2 = 4h

Curved surface area of cylinder = 2 rh

Ratio of Curved Surface Areas = S subscript 1 over S subscript 2 equals fraction numerator 2 straight pi left parenthesis 2 straight x right parenthesis left parenthesis 5 straight h right parenthesis over denominator 2 straight pi left parenthesis 3 straight x right parenthesis left parenthesis 4 straight h right parenthesis end fraction equals fraction numerator 2 cross times 5 over denominator 3 cross times 4 end fraction equals 5 over 6

Answered by  | 21st Mar, 2014, 05:38: PM