The lateral surface area of a hollow cylinder is 3520 sq. cm. It is cut along its height and a rectangular sheet of width 56 cm is formed. Find the perimeter of the rectangular sheet.
Answers
Answer:
The length of rectangular sheet will be equal to the circumference of the circle. Lateral surface area of the cylinder will be equal to the area of the rectangular sheet. Thus, the perimeter of the rectangular sheet is 322 cm
Step-by-step explanation:
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Answer:
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The lateral surface area of a hollow cylinder is 4224 cm² .It is cut along its height and formed a rectangular sheet of width 33 cm. Find the perimeter of rectangular sheet?
Solution:
The length of rectangular sheet will be equal to the circumference of the circle. Lateral surface area of the cylinder will be equal to the area of the rectangular sheet.
Lateral surface area of a hollow cylinder = 4224 cm²
Width of rectangular sheet = 33 cm
Let length of the rectangular sheet = l
Lateral surface area of cylinder = Area of rectangular sheet
4224 cm² = b × l
4224 cm² = 33 cm × l
l = 4224 / 33 cm = 128 cm
Thus, the length of the rectangular sheet be 128 cm
Perimeter of the rectangular sheet = 2 × (l + b)
= 2 × (128 cm + 33 cm)
= 2 × 161 cm = 322 cm
Thus, the perimeter of the rectangular sheet is 322 cm.