a rectangular sheet of paper is 44 cm *18cm is rolled along its length and a cylinder is formed.find the volume of cylinde
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Answered by
10
length of the rectangular sheet = l= 44cm
breadth = b= 18cm
if it is rolled along its length then
cylinder so formed whose dimensions are
let radius of the cylinder = r cm
base perimeter = l
2πr = 44cm
2*22/7*r=44cm
r = (44*7)/(2*22)cm=7
height of the cylinder = h= b
h=18cm
∴volume of the cylinder =V= πr²h
= 22/7*7*7*18
=22*7*18
=2772cm³
breadth = b= 18cm
if it is rolled along its length then
cylinder so formed whose dimensions are
let radius of the cylinder = r cm
base perimeter = l
2πr = 44cm
2*22/7*r=44cm
r = (44*7)/(2*22)cm=7
height of the cylinder = h= b
h=18cm
∴volume of the cylinder =V= πr²h
= 22/7*7*7*18
=22*7*18
=2772cm³
Answered by
1
length of the sheet = circumference of cylinder base
2*pi*r=44cm
2*22/7*r=44
r=(44*7)/(2*22)
r=7cm
therefore
cylinder radius=r=7cm
height of the cylinder=breadth of the rectangle
h=18cm
volume of the cylinder =pi*r^2*h
=22/7*7*7*18
=22*7*18
=2772cm^3
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