Chapter 9.3, Problem 34E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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*In Exercises 34 and 35, give a paragraph proof for each claim.*

The total area

To determine

**To give:**

The paragraph proof for the claim “The total area *T* of a right circular cylinder whose altitude is of length *h *and whose circular base has a radius of length *r *is given by

Explanation

**Given:**

The claim is “The total area *T* of a right circular cylinder whose altitude is of length *h* and whose circular base has a radius of length *r *is given by

**Proof:**

Consider a right circular cylinder.

Let *r *be the radius of the base of the cylinder and *h* be the altitude of the cylinder.

The lateral area of the right circular cylinder is

The base of the cylinder is a circle with radius *r*.

The base area of the right circular cylinder is

Hence the total area of the right circular cylinder is

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