Question
an open topped cylinder has a volume of 125 cubic inches. determine the radius of the pot that will minimize it's surface area.
What I have so far...
radius =r
keight =h
V=πr²h
125/πr²=h
SA = πr² + 2πr(h)
= πr² + 2πr(125/πr²)
SA =πr² +250/r
What I have so far...
radius =r
keight =h
V=πr²h
125/πr²=h
SA = πr² + 2πr(h)
= πr² + 2πr(125/πr²)
SA =πr² +250/r
Answers
Steve
so far so good:
A = pi r^2 + 250/r
dA/dr = 2pi r - 250/r^2
so, when is dA/dr = 0?
A = pi r^2 + 250/r
dA/dr = 2pi r - 250/r^2
so, when is dA/dr = 0?
Anonymous
235.62