Chapter 10.1, Problem 42E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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Find the volume of the solid formed when the triangular region having vertices at

To determine

**To show:**

The volume of solid when the triangular region having vertices

Explanation

A triangle is drawn with the following vertices

Now, the triangle is rotated about the

The resultant will be a cone.

Now, we have to find the volume of the cone.

Let

Let

From the diagram,

Height is the distance between the points

Formula for distance between two points

Substituting the* x* and* y* co-ordinates

On solving this,

Hence, height is

Radius is the distance between the points

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