The lateral surface area of a hollow cylinder is is 5000cm square. It is a cut along it's height and formed a rectangular sheet of width 50 cm. Find the perimeter of rectangle sheet
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Answer:
300 cm is the homogeneous mixture.
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Answer :
- Perimeter of rectangle sheet = 300 cm
Given :
- L. S. A of hollow cylinder = 5000 cm²
- Height of cylinder (h) = 50 cm
To find :
- The perimeter of rectangle sheet =?
Step-by-step explanation:
L. S. A of hollow cylinder = 5000 cm² [Given]
Height of cylinder = width of the rectangle sheet as the cylinder is cut along its height.
So, Height of cylinder, h = 50 cm.
L. S. A of cylinder = 2πrh = 2πr × 50 = 100πr
L. S. A of cylinder = 5000 [Given]
∴ 100 πr = 5000
r = 5000/100 = 50/π cm
Circumference of the circle on the top and bottom of the cylinder = length of the rectangle sheet.
Circumference = 2πr = 2π (50/π) cm
= 2 x 50
= 100 cm (Length)
Now,
Perimeter of rectangle sheet = Perimeter of rectangle = 2(l + b)
Substituting the values in the above formula, we get,
= 2(100 + 50)
= 2(150)
= 300 cm
Thus, The Perimeter of rectangle sheet = 300 cm
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