A rectangular piece of paper is 22cm metre in length and 10cm in width. it is rolled into a cylinder along its length find the surface area of this cylinder.
Answers
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Step-by-step explanation:
r----22cm
h----10cm
csa= 2/πrh = 22×10
220cm^2(ans)
Answer:
The surface area of this cylinder is 220 cm²
Step-by-step explanation:
Given :
A rectangular piece of paper length 22 cm and 10cm in width.
Paper is rolled into a cylinder along its length
To find :
The surface area of this cylinder
Solution :
★ When rectangular piece of paper rolled into a cylinder along its length.
Length become circumference Width become height,
So,
Find the radius ;
Circumference = 22 cm
Circumference = 2 π r
⇒ 2 π r = 22
⇒ 2 × 22 / 7 × r = 22
⇒ 44 / 7 × r = 22
⇒ 44 r = 22 × 7
⇒ 44 r = 154
⇒ r = 154 / 44
⇒ r = 3.5 cm
Curved surface area = 2 π r h
⇒ 2 × 22 / 7 × 3.5 × 10
⇒ 220
Curved surface area = 220 cm²
Therefore,
The surface area of this cylinder is 220 cm²