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A cylindrical can is to have a volume of 1700 cm^3. Determine the radius and the height which...

Question:

A cylindrical can is to have a volume of 1700 cm3. Determine the radius and the height which will minimize the amount of material to be used. Note that the surface area of a closed cylinder is S=2πrh+2πr2 and the volume of the cylindrical can is V=πr2h.

Cylinder:

A Cylinder is a definite shape, which has a couple of circular bases connected by a rounded covering. The Surface area of the cylinder is calculated by taking the sum of both the area of circular base and area of rounded covering.

Answer and Explanation: 1

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Given Data:

  • The volume of the cylindrical can: V=1700cm3
  • The surface area of cylinder is given as {eq}S = 2\pi rh +...

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Maximum & Minimum of a Function | Solution & Examples

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Chapter 15 / Lesson 1
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Understand how to find the local max and min of a function. Discover how to identify maximum and minimum points of a function. See examples of local maximum and minimum to better learn how to solve min-max problems.


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