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
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education