SOLUTION: which has a greater effect on the surface area of a right circular cone, doubling the radius or doubling the height?

Question 1129617: which has a greater effect on the surface area of a right circular cone, doubling the radius or doubling the height?
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!

The first term is the area of the disk at the bottom, the 2nd term is the area of the slanted cone part.

Even if we ignore the circular disk at the bottom, the exponent of r (2) is higher than that of h (1), so A is more sensitive to changes in r than h. Adding in the disk makes it even more sensitive to r.

Ans: Doubling the radius has a greater effect on the surface area of a right circular cone.
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You can plug in values for r, h, compute a baseline A(r,h), then compute A(2r,h), then compute A(r,2h) and compare...
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