find the volume of cylinder which is made by rolling a rectangular sheet of size 44cm x 33cm along its breadth
Answers
Height of the cylinder formed (h) = Length of the paper = 11 cmCircumference of the base of the cylinder formed = breadth of the rectangle = 4 cm2πr = 4 2 × 22/7 × r = 4 r = 4 × 1/2 × 7/22 r = 7/11 cm Volume of the cylinder = πr2h = 22/7 x 7/11 x 7/11 x 11 = (22 x 7) / (11) = 2 x 7 = 14 cm3.
Here's your answer!!
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Side of the rectangular sheet is given ,
=>44cm ×33cm
So,
Area of rectangle sheet =Length ×Breadth
=44*33
=1452cm^2
To find the volume of the cylinder we will first have to find its radius .
Since,
Curved surface area will be equal to the area of rectangle sheet.
So,
2πrh =1452
2*22/7*r*44=1452
r=21/4
Now,
Volume of cylinder= 2 π rh
2*22/7*21/7*44
Hence,
Volume of cylinder is 3811.5cm^3
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Hope it helps you!! :)