   Chapter 9.3, Problem 40E 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

For a right circular cone, the dimensions are r = 6 cm and h = 8 cm. If the length of the radius is doubled while the height is made half as large in forming a new cone, will the volumes of the two cones be equal?

To determine

To check:

Whether the volumes of the two cones are equal or not.

Explanation

Given:

For a right circular cone, the dimensions are r=6 cm and h=8 cm. The radius is doubled while the height is made half as large in forming a new cone.

Formula used:

The volume of the right circular cone is V=13πr2h.

Calculation:

Let r be the radius of the base and h be the height of the right circular cone.

Let V1 be the volume of the cone.

V1=13πr2h.

The radius is doubled while the height is made half as large in forming a new cone.

That is radius is 2r and height is h2.

Let V2 be the volume of the cone

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