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.
Answers
Answered by
285
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.
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.
ronnie25:
Thanks for that,though there was a calculation mistake at the end but I get the point.
Answered by
46
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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