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GeometryElementary Geometry For College Students, 7eIf 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.”)BuyFind*arrow_forward*

7th Edition

Alexander + 2 others

Publisher: Cengage,

ISBN: 9781337614085

Chapter 9.3, Problem 38E

Textbook Problem

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.”)*

Expert Solution

To determine

**To find:**

The ratio of the volume of the larger cylinder to the volume of the smaller cylinder.

**Given:**

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

**Formula used:**

The volume 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

Elementary Geometry For College Students, 7e

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Ch. 9.1 - Consider the solid shown. a Does it appear to be a...Ch. 9.1 - Consider the solid shown. a Does it appear to be a...Ch. 9.1 - Consider the hexagonal prism shown in Exercise 1....Ch. 9.1 - Consider the triangular prism shown in Exercise 2....Ch. 9.1 - If each edge of the hexagonal prism in Exercise 1...Ch. 9.1 - If each edge of the triangular prism in Exercise...Ch. 9.1 - Suppose that each of the bases of the hexagonal...Ch. 9.1 - Suppose that each of the bases of the triangular...Ch. 9.1 - Suppose that each of bases of the hexagonal prism...Ch. 9.1 - Suppose that each of the bases of the triangular...

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