The area of the curved surface of a cylinder is 4400 cm2, and the circumference of its base is 110 cm.
Find the height of the cylinder.
Solution:
The area of any given cylinder's curved surface with a base radius of "r" and a height of "h" is referred to as the "curved surface area of a cylinder" (CSA)
Given curved surface area of a cylinder = 4400 cm2
Circumference of its base = 110 cm
2π r = 110
r = 110/2π = (110×7)/2×22 = 17.5 cm
Curved surface area of a cylinder, 2π rh = 4400
2×(22/7)×17.5×h = 4400
h = (4400×7)/2×22×17.5
= 40 cm
Hence the height of the cylinder is 40 cm.
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