Question

Rectangular sheet of paper 35 into 21 CM can we transform into the curved surface area of a right circular cylinder in two ways either by Rolling the paper along its length all along its breadth find the ratio of volumes of the two cylinders does com

Answer 1

Rolling along length:
Height = 35, Circumference = 21
2πr = 21
r=21÷2π

Volume =π×(21÷2π)^2×35
=15435÷4π

Rolling along breadth:
Height = 21
Circumference= 35
2πr = 35
r = 35/2π
Volume =π×(35÷2π)^2×21
=25725÷4π

Now,
Ratio = Volume breadth : Volume of height

(15435÷4π) : (25725÷4π)(dividing with common term on both sides)
=1029:1715
=147:245
=21:35
=3:5

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