Homework Help: maths

Posted by Anonymous on Wednesday, January 2, 2013 at 10:04am.

A rectangular sheet of paper 30 cm X 18cm can be transformed into a right circular cylinder in two ways - by rolling the paper along its length or by rolling it along its breadth . Find the ratio of the volume of two cylinders formed.

maths - Reiny, Wednesday, January 2, 2013 at 10:22am
rolling along length:
height = 30, circumference = 18
2πr = 18
r = 9/π
volume = π(81/π^2)(30) = 2430/π

rolling along breadth
height = 18
circumf = 30
2πr = 30
r = 15/π
Volume = π(225/π^2)(18) = 4050/π

ratio of volume breadth : volume of height
=(4050/π) : 2430/π
= 5 : 3

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