Question

Determine the ratio of the volume of the two right circular cylinders that can be prepared using a rectangular sheet of paper of length 33 cm and breadth 22 cm.

Answer 1

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Answer 2

1st cylinder:

Circumference = Length of the paper = 33 cm

Slanted height = breadth of the paper = 22 cm

Find the radius:

Circumference = 2πr

2πr = 33

r = 33 ÷ 2π

r = 5.25 cm

Find the volume:

Volume = πr²h

Volume = π(5.25)²(22) = 1905.75 cm³

2nd cylinder:

Circumference = Length of the paper = 22 cm

Slanted height = breadth of the paper = 33 cm

Find the radius:

Circumference = 2πr

2πr = 22

r = 22 ÷ 2π

r = 3.5 cm

Find the volume:

Volume = πr²h

Volume = π(3.5)²(33) = 1270.5 cm³

Find the ratio:

Volume 1 : Volume 2 = 1905.75 :1270.5

Multiply by 100:

Volume 1 : Volume 2 = 190575 :127050

Divide by 63525:

Volume 1 : Volume 2 = 3 : 2

Answer: 3 : 2