A rectangular sheet of paper is rolled in two different ways to form two different cylinders. Find the volume of cylinders in each case if the sheet measures 44 cm × 33 cm.
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ronnie25
15.03.2015
Math
Secondary School
+5 pts
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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.
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RanjanBhat Ambitious
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.
Tum ranchi se ho.
Answer:
5028 cm3
Step-by-step explanation:
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