Chapter 14.6, Problem 20E

### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347

Chapter
Section

### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347
Textbook Problem

# Volume In Exercises 19-24, use a triple integral to find the volume of the solid bounded by the graphs of the equations.

To determine

To calculate: The volume of the solid bounded by with the help of Triple integral if the graphs of the equations z=2xy;x=0;x=2;y=0;y=2 and z=0

Explanation

Given:

The given 3-D plot shown below;

Formula used:

The integration formula is,

âˆ«abxndx=[xn+1n+1]ab

Calculation:

Consider the provided 3-D plot,

From the provided 3-D plot, z varies from 0 to 2xy, x varies from 0 to 2 and y varies from 0 to 2. Thus, the volume of the solid can be calculated by this expression âˆ«02âˆ«02âˆ«02xydzdxdy as below,

âˆ«02âˆ«02âˆ«02xyd</

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