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.
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First case,
h = 30 cm and r = 18/2 = 9 cm
so,
Volume of cylinder(V1) = 22/7 × 9 × 9 × 30
Second case,
h = 18 cm and r = 30/2 = 15 cm
so,
Volume of cylinder(V2) = 22/7 × 15 × 15 × 18
Now,
V1/V2 = 22/7 × 9 × 9 × 30/ 22/7 × 15 × 15 × 18
= 3/5 or 3:5
So ratio of the is 3:5.
h = 30 cm and r = 18/2 = 9 cm
so,
Volume of cylinder(V1) = 22/7 × 9 × 9 × 30
Second case,
h = 18 cm and r = 30/2 = 15 cm
so,
Volume of cylinder(V2) = 22/7 × 15 × 15 × 18
Now,
V1/V2 = 22/7 × 9 × 9 × 30/ 22/7 × 15 × 15 × 18
= 3/5 or 3:5
So ratio of the is 3:5.
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