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exercise is here

It seems pretty odd to change one of the variable when trying to do some optimization.

  • Please edit your question using mathjax, avoid using images as it is not searchable. – Siong Thye Goh Jun 12 '20 at 15:15
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    I notice you deleted this post shortly after receiving an answer. Don't do that. It's unkind to those who took the time to answer your question and makes it look like you're trying to hide something. – davidlowryduda Jun 12 '20 at 19:25

1 Answers1

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You want your volume to be $33$, hence you should not let it be an inequality. when we see $V$, we should directly replace it with $33$.

You do not want to minimize the gradient of the objective function, you want to minimize the objective function.

That is you want to minimize

$$\min _r\frac{66}r+2\pi r^2$$

$$s.t. r > 0$$

Siong Thye Goh
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