Chapter 9.3, Problem 39E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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For the two similar cylinders in Exercise

If the length of the radius and the height of a right circular cylinder are both doubled to form a larger cylinder, what is the ratio of the volume of the larger cylinder to the volume of the smaller cylinder?

*(Note: The two cylinders are said to be “similar.”)*

To determine

**To find:**

The ratio of the lateral area of the larger cylinder to the lateral area of the smaller cylinder.

Explanation

**Given:**

The radius and height of a right circular cylinder are both doubled to form a larger cylinder.

**Formula used:**

The lateral area of the right circular cylinder is

**Calculation:**

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

Let

The radius and height of a right circular cylinder are both doubled to form a larger cylinder.

That is, radius is

Let

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