Question: A cylinder is constructed with a platform halfway up, in addition to one at the base and one at the top.

It also has 13 vertical support beams.

Note: The number of vertical support beams in the picture may differ from the number you have been given.

The cost of constructing the platforms and the beams is as follows:

- The platforms cost $6 per metre \(^{2}\) and

- The vertical support beams cost $17 per metre.

Showing all steps, analytically determine the exact radius \(r\) of the cylinder that minimizes the cost of constructing the platforms and the vertical support beams if the volume of the cylinder must be \(V=150 \pi \mathrm{m}^{3}\).

A complete answer must include

- A domain for the objective function

- An appropriate test to verify that the cost is a minimum.

Enter the radius \(r\) that minimizes the cost accurate to 3 decimal places.

Price: $2.99

Solution: The downloadable solution consists of 3 pages
Deliverable: Word Document