Question

In: Advanced Math

The Goodsmell perfume company has a new line of perfume and is designing a new bottle...

The Goodsmell perfume company has a new line of perfume and is designing a new bottle for it. Because of the expense of the glass required to make the bottle, the surface area must be less than 150 cm2. The company also wants the bottle to contain at least 100mL of perfume. The design under consideration is in the shape of a cylinder. Determine the maximum volume possible for a cylindrical bottle that has a total surface area of less than 150 cm2. Determine the volume to the nearest 10mL. Report the dimensions of the bottle and the corresponding surface are and volume.

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Expert Solution

If you have any doubts in the solution please ask me in comments ...here i used application of derivative method


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