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A rectangular sheet of paper is rolled in two different ways to form two different cylinders.Find the volumes of the cylinders in each case if the sheet measures 44cm x 33cm.

Answer :

1 way is
height = 44cm
circumference = 33cm
radius = ?
C = 2PiR
33cm = 2 X 22/7 X R
33cm = 44/7 X R
R = 33cm X 7/44
R = 5.25 cm
Therefore, the volume of the cylinder would be
Pi R^2 H
= 22/7 X 5.25^2 44cm
= 3811.5 cm3

Another way is
height = 33cm
circumference = 44cm
radius = ?
C = 2PiR
44cm = 2 X 22/7 X R
44cm = 44/7 X R
R = 44cm X 7/44
R = 7cm
Therefore, the volume of the cylinder would be
Pi R^2 H
= 22/7 X 49 X 33
= 5028 cm3
Plz thank me if it was indeed helpful because this question was hard for me too and if there is any mistake plz tell me.
kunalkt0105

1 way is

height = 44cm

circumference = 33cm

radius = ?

C = 2PiR

33cm = 2 X 22/7 X R

33cm = 44/7 X R

R = 33cm X 7/44

R = 5.25 cm

Therefore, the volume of the cylinder would be

Pi R^2 H

= 22/7 X 5.25^2 44cm

= 3811.5 cm3

Another way is

height = 33cm

circumference = 44cm

radius = ?

C = 2PiR

44cm = 2 X 22/7 X R

44cm = 44/7 X R

R = 44cm X 7/44

R = 7cm

Therefore, the volume of the cylinder would be

Pi R^2 H

= 22/7 X 49 X 33

= 5028 cm3

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