Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 6 - Exponential Functions and Sequences - 6.1 - Properties of Exponents - Monitoring Progress - Page 295: 15

Answer

$\frac{\pi h^{2}}{4}$ and $\pi h^{2}(2)^{-2}$.

Work Step by Step

$\text{Area of a base of the cylinder}=\pi r^{2}$ where $r$ is the radius of the circular base. Substituting $\frac{h}{2}$ for $r$, we get $\text{Area}=\pi (\frac{h}{2})^{2}=\frac{\pi h^{2}}{4}$ Using the properties of exponents, we can write $\frac{\pi h^{2}}{4}=\pi h^{2}2^{-2}$ The expressions are $\pi r^{2}, \frac{\pi h^{2}}{4}$ and $\pi h^{2}(2)^{-2}$.
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