Hello, mathsB!

I have no idea what a "net" is . . .

Consider a rectangle of perimeter 60Cm.

Form a cylinder by revolving this rectangle about one of its edges.

What dimensions of the rectangle will result in a cylinder of maximum **volume**?

(Include a net of the final shape) We have a rectangle with dimensions . Code:

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The perimeter is 60 cm: . .**[1]**

Revolve the rectangle about a vertical side.

The cylinder has radius and height .

. . It volume is: . . . **[2]**

Substitute [1] into [2]: .

Now maximize this function.

. .