Wednesday
September 17, 2014

Homework Help: Calculus

Posted by sh on Wednesday, December 8, 2010 at 9:45pm.

To construct a tincan, V=32pi m^3, The cost per square meter of the side is half of the top and bottom of can. What are the dimensions and the cost?

V=πrh=32pi SA=2πr+2πrh
h=32/r
Domain={r>o}
Let x be the cost, I subbed 32/r for h
C=f(r)=2πxr+(32xπ/r)
f'(r)=4πxr + 32xπ/r
common denominator
f'(r)=(4πxr+ 32xπ)/r
I factored, it, r=-2, which is not in the domain.

Where did it go wrong?

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