   Chapter 9.3, Problem 13E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

Find the volume of the oblique circular cylinder. The axis meets the plane of the base to form a 45 ∘ angle. To determine

To calculate:

The volume of the oblique circular cylinder.

Explanation

Given:

The oblique circular cylinder has the indicated dimensions. The axis meets the plane of the base to form a 45 angle.

Formula used:

The volume of the right circular cylinder is V=πr2h.

Calculation:

Since the axis meets the plane of the base to form an 45 angle, the axis and the altitude form a right triangle.

From the figure,

sin45=h8212=h82

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