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Calculus 1 / AB
Calculus 2 / BC
Chapter 4
Applications of Differentiation
Section 7
Optimization Problems
Derivatives
Differentiation
Volume
Oregon State University
Baylor University
University of Michigan - Ann Arbor
Boston College
Lectures
04:35
In mathematics, the volume of a solid object is the amount of three-dimensional space enclosed by the boundaries of the object. The volume of a solid of revolution (such as a sphere or cylinder) is calculated by multiplying the area of the base by the height of the solid.
06:14
A review is a form of evaluation, analysis, and judgment of a body of work, such as a book, movie, album, play, software application, video game, or scientific research. Reviews may be used to assess the value of a resource, or to provide a summary of the content of the resource, or to judge the importance of the resource.
We know that if X is, our length and wise are within the perimeter is gonna be two times X plus y. We can set this equal to 100. Divide both sides by two. We get 50 equals X plus y Writing this in terms of why wise 50 minus axe area is X y, which gives us 50 acts minus X squared. Remember wise 50 minutes acts The derivative of area is 15 minus two acts said this equal to zero. We end up with 25 equals acts and then remember 50 minus 25 is why there for 25 is why so maximum areas a square with side length of 25 meters.
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