A rectangular sheet of length 132cm and breadth 21cm is folded to form a cylinder. Find the total surface area of the cylinder so obtained.
Answers
Answered by
4
#answerwithquality #BAL
Step-by-step explanation:
Hope it helps you.
Attachments:
Answered by
2
The total surface area of the cylinder so obtained is 2842.19 cm², when the rectangular sheet is folded along breadth.
Given,
length of sheet = 132cm,
breadth = 21cm.
When this rectangular sheet is folded along its breadth to a cylinder, it would be a hollow tube with two open ends.
The ends of the tube would have circumference equal to the breadth of sheet = 21cm.
Let the radius of the tube be 'r' cm.
So, 2Пr = 21 [Circumference = 2Пr]
r = 21/2П
The total surface area is given as:
SA = 2Пr(r+h), where h is the height = length of sheet = 132 cm
So, SA = 2П(21/2П)[ (21/2П + 132]
= 2П(21/2П)[135.34]
= 2842.19 cm²
Similar questions