The dimension of the maximum volume of the circular cylinder is
200r - πr³.
<h3>What is a cylinder?</h3>
A cylinder is a three-dimensional figure that has a radius and a height.
The volume of a cylinder is given as:
Example:
The volume of a cup with a height 5 cm and a radius 2 cm is
Volume = 3.14 x 2 x 2 x 5 = 62.8 cubic cm
We have,
The surface area of the cylinder = 400 cm²
The surface area of a cylinder = 2πrh + 2πr²
400 = 2πrh + 2πr²
400 = 2πr (h + r)
400 / 2πr = h + r
h = (400/2πr) - r
The volume of the closed circular cylinder.
V = πr²h
V = π x r² x {(400/2πr) - r}
V = π x r² x (400 - 2πr²) / 2πr
V = r x (400 - 2πr²) / 2
V = r x (200 - πr²)
V = 200r - πr³
Thus,
The dimension of maximum volume is 200r - πr³.
Learn more about cylinder here:
brainly.com/question/15891031
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