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# MEI easy question watch

1. Hi I'm struggling with an easy question from mei book

Think of a barrel as a cylinder of H height with T half way up.

i) find the expression of the square of the radius in terms of L and H

im fine with that

ii) hence find expression for the volume V
done

iii) this is the part where i get lost

If L is fixed and h i varied what value of h gives the greatest volume?

https://www.maa.org/press/periodical...-barrel-design

Background story with pictures. L is the diagonal constant. on the websaite d is is diagonal constant
2. What was the equation in V?
Depending on the equation, there may be an easier method, but generally the first thing you should do when you need to find the maximum value of a function is to differentiate it.
(If you plot a graph of V against h, then at the maximum V, the gradient will probably be 0, as V decreases again afterwards)
3. hi a have found a book containing all the solutions answer was in front of me LOL ...

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