Concept explainers
To find: What is the maximum volume of the cylinder?
The volume of cylinder as a function of h would be
Given information:
A cylinder is inscribed in a sphere of radius 8.
Formula used:
Volume of cylinder is
Calculation:
First of all, find the radius of cylinder using Pythagoras theorem. Draw a right
Here D is diameter of the cylinder. Using Pythagoras theorem, the set-up would be:
It is known that radius is half the diameter, so radius of the cylinder would be
Therefore, the volume of cylinder as a function of h would be
Upon graphing the volume function, the required graph would look like as shown below:
It is visible that the maximum volume is about
Chapter 2 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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