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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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A lawn roller in the shape of a right circular cylinder has a radius of length 18 in. and a length (height) of 4 ft. Find the area rolled during one complete revolution of the roller. Use the calculator value of π , and give the answer to the nearest square foot.

Chapter 9.3, Problem 49E, A lawn roller in the shape of a right circular cylinder has a radius of length 18 in. and a length

To determine

To find:

The area rolled during one complete revolution of the roller.

Explanation

Given:

A lawn roller in the shape of a right circular cylinder has a radius of 18 in. and a length (height) of 4 ft.

Formula used:

The lateral area of the circular cylinder is L=2πrh

Calculation:

Let r be the radius and h be the altitude of the circular cylinder.

We have r=18 in

r=1812 ft=1.5 ft

We have r=1.5,h=4

Substitute the values in L=2πrh

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