A rectangular sheet of paper of dimensions 44 cmx 14 cm is rolled along its length and a cylinder is formed. Find the surface area of the cylinder
Answers
Step-by-step explanation:
When the rectangular sheet is rolled along its length, we find the length of the sheet forms the circumference of its base and breadth of the sheet becomes the height of the cylinder.
let r cm be the radius of the base and h cm can be height, then h=14cm
Now, circumference of the base = length of the sheet
⇒ 2πr=44
⇒ 2×22/7×r=44
⇒ 44r/7= 44cm
⇒ 44r= 44×7cm
r = 44×7/44
= 7cm
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Answer:
924 cm²
Step-by-step explanation:
We are given a rectangular sheet of paper of dimensions 44 cm × 14 cm is rolled along its length
So, height of formed cylinder = Length of rectangular sheet = 14 cm
Circumference of base of cylinder = Breadth = 44 cm
Circumference of circle = 2πr
So, 2× 22/7 × r = 44
r = 44×7/2×22
r=7
Radius of cylinder is 7 cm
Height = 14 cm
Total surface area of cylinder = 2πr(r+h)
=2×22/7×7(14+7)
=924
Hence the total surface area of cylinder formed is 924 cm²