Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 9 - Quadratic Functions and Equations - Common Core Cumulative Standards Review - Selected Response - Page 610: 21

Answer

$ \approx 85$ i$n^3$

Work Step by Step

To find volume, you need to multiply the area of the base circle and the height. Since the diameter of the base circle is $6$ in, the radius is $3$ in, and the area of the base circle is $\pi r^2$, where r is the radius. Plug the radius in. The area of the circle is $9\pi$ i$n^2$ Multiply this by the height. It is filled up to $3$ inches. We will take this number as the height. $9\pi * 3$ $ = 27\pi$ i$n^3$ This is the volume. Here, $\pi$ is taken as $3.14$, as the question asks. Replace $\pi$ by $3.14$ $27 * 3.14$ = $84.78$ i$n^3$ Round to the nearest cubic inch $ \approx 85$ i$n^3$
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