The radius of the base is; 5
What is the radius of the base?
Since it has a perimeter of 32 units and it is to be rotated about the line, the solid to be created it is a cylinder.
Let's calculate its radius from the perimeter;
2p = 32
2(b + h) = 32
b + h = 16
b = 16 - h
Also, bh = 60
Thus;
h(16 - h) = 60
16h - h² = 60
h² - 16h + 60 = 0
Using online quadratic formula, we have h = 6
Thus; b = 16 - 6 = 10
Since the line of rotation is the center, and the radius is half the line segment of the basis, then the radius is 10/2 = 5.
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