Finding the Volume of a Solid Region In Exercises 93-96, use a double integral to find the volume of the solid region.
To calculate: The volume of the solid region shown below by application of double integral
Given Information:
The provided solid region is shown below as;
Formula used:
To determine the volume of a solid follow the steps provided below as:
Step 1: First write the equation of the surface in form,
Which is followed by sketching of solid region
Step 2: Next sketch the region R in the two-dimensional x-y plane and then find the order and limits of integration.
Step 3: Finally solve the obtained double integral,
By using the necessary information from step 2.
The integration of function
Calculation:
Consider the provided solid region.
The equation of the surface is
Next sketch the graph of region R in the x-y plane shown below as,
By observation of the above graph it is clear that the region R is bounded by the equations
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