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Vlada [557]
3 years ago
15

given the height and the circumference of the base of a cylinder describe how to find the surface area of the entire cylinder

Mathematics
1 answer:
Dafna11 [192]3 years ago
7 0
The radius of the cylinder is related to its circumference by
.. C = 2πr
.. r = C/(2π)
The area of the cylinder base is given by
.. A = π*r^2 = π*(C/(2π))^2 = C^2/(4π)

The lateral area of the cylinder is given by
.. S = C*h

The total area of the cylinder is the lateral area plus the area of both bases.
.. total area = C*h +2*C^2/(4π)
.. total area = C*h +C^2/(2π) . . . . . . . . area from circumference and height
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