A rectangular piece of paper of width 20 cm and length 44 cm is rolled along its to form a cylinder. What is the volume of the cylinder so forme
Answers
Answer:
1401 cm³
Step-by-step explanation:
Find radius of base circle
Circumference = 2πr
20 cm = 2 × π × r
20 cm ÷ 2 = π × r
10 cm = π × r
r = 10 cm ÷ π
r = 3.18 cm
Volume of cylinder = πr²h
V = π × (3.18 cm)² × 44 cm
V = π x 10.1 cm² × 44 cm
V = 1401 cm³
Answer:
We know that the curved surface area of a right circular cylinder with radius r and height h is CSA=2πrh.
Step-by-step explanation:
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 × 22/7 × r
r = 44 ×7 / 2×22 = 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^2h.
Here, the height is h=20 cm and the radius is r=7 cm, therefore,
V = πr^2h = 22/7 × (7)^2 ×20 = 22/7 × 49 ×20
=3080 cm^3.
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