A rectangular sheet of paper is 33cm long and 10cm broad. It is rolled along its length to make a cylinder. Find the curved surface area of the cylinder so formed
Answers
Answer:
Step-by-step explanation:
A rectangular sheet of paper, 44cm×20cm is rolled along its length to form a cylinder. Find the volume of the cylinder so formed.
ANSWER
We know that the curved surface area of a right circular cylinder with radius r and height h is CSA=2πrh.
It is given that the length of the rectangular sheet is l=44 cm and the height of the sheet is h=20 cm. Since the cylinder is formed among the length, therefore, length of rectangular sheet is equal to circumference of base that is:
l=2πr
⇒44=2×
7
22
×r
⇒r=
2×22
44×7
=7
Therefore, the radius of the rectangular sheet is 7 cm.
We also know that the volume of a right circular cylinder with radius r and height h is V=πr
2
h.
Here, the height is h=20 cm and the radius is r=7 cm, therefore,
V=πr
2
h=
7
22
×(7)
2
×20=
7
22
×49×20=3080 cm
3
Hence, the volume of the cylinder is 3080 cm
3
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Answer:
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Step-by-step explanation:
We know that the curved surface area of a right circular cylinder with radius r and height h is CSA=2πrh
It is given that the length of the rectangular sheet is l=33 cm and the height of the sheet is h=10 cm. Since the cylinder is formed among the length, therefore, length of rectangular sheet is equal to circumference of base that is:
l=2πr
⇒33=22/7×r
⇒r= 33×7 /2×22 =231/44 = 5.25
∴ the radius of the rectangular sheet is 5.25 cm.
∴ CSA = 2πrh
= 2 * 22/7 * 5.25 * 10
= 330 cm^2