two right circular solid cylinder have radii in the ratio 3:5 and height in the ratio 2:3.find the ratio between their:curved surface area and volume

Asked by k.8885666243 | 21st Aug, 2020, 06:54: AM

Expert Answer:

Ratio of radii of two cylinders = 3:5
Ratio of heights of two cylinders = 2:3
Ratio space of space their space curved space surface space areas space equals space fraction numerator 2 πr subscript 1 straight h subscript 1 over denominator 2 πr subscript 2 straight h subscript 2 end fraction equals open parentheses straight r subscript 1 over straight r subscript 2 close parentheses open parentheses straight h subscript 1 over straight h subscript 2 close parentheses equals 3 over 5 cross times 2 over 3 equals 2 over 5
Ratio space of space their space volumes space equals space fraction numerator πr subscript 1 squared straight h subscript 1 over denominator πr subscript 1 squared straight h subscript 2 end fraction equals open parentheses straight r subscript 1 over straight r subscript 2 close parentheses squared open parentheses straight h subscript 1 over straight h subscript 2 close parentheses equals open parentheses 3 over 5 close parentheses squared cross times 2 over 3 equals 9 over 25 cross times 2 over 3 equals 6 over 25

Answered by Renu Varma | 21st Aug, 2020, 11:30: AM