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Calculus (MindTap Course List)

8th Edition
James Stewart
ISBN: 9781285740621

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BuyFindarrow_forward

Calculus (MindTap Course List)

8th Edition
James Stewart
ISBN: 9781285740621
Textbook Problem

Each integral represents the volume of a solid. Describe the solid.

0 3 2 π x 5   d x

To determine

To describe:

The solid

Explanation

1) Concept:

 By the shell method, the volume of the solid by rotating the region under the curve y=f(x) about y-axis from a to b is

V= ab2πx f(x)dx

where 0ab

2) Given:

032πx5dx

3) Calculations:

It is the given that the volume of the solid is

032πx5dx

The volume of the solid obtained by the revolution curve y=fx0 around the y- axis in the interval 0, 3 is

V=ab2πx f(x)dx

Comparing this with V=032π

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