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Q.

If A = 2(π)r2 + 2(π) rh, how do you solve for r?
Class: 9

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a

h = r

b

r = h

c

d

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Detailed Solution

Note that if subtract A from both sides we get O = 2πr2 + 2πrh – h
If we take out the 2π and h, we get this simple equation O = r2 + r– A
Wee know that 2π, h, and A are contents, so what we have here is a quadratic equation of the forms
O = ar2 + br + c. In our cube a = 2π, b = 2πh, and c = A We can solve for r using the quadratic formula:

Making the substitution a = 2π, b = 2πh and c = A we have:

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