Question 715787
There's no formula, just figure it out.
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A tin can has a circular base and a volume of 80\pi cm^3. Express the diameter of the base of the can in terms of the height of the can.
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{{{Vol = pi*r^2*h}}}
{{{r^2 = Vol/(pi*h)}}}
{{{r = sqrt(Vol/(pi*h))}}}
{{{d = 2sqrt(Vol/(pi*h))}}}
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for Vol = 80*pi cc:
{{{d = 2sqrt(80/h)}}} cm
{{{d = 8sqrt(5h)/h}}} cm