## Algebra 1

Published by Prentice Hall

# Chapter 8 - Polynomials and Factoring - 8-2 Multiplying and Factoring - Practice and Problem-Solving Exercises - Page 484: 41

#### Answer

Final volume= 8474 $m^{3}$

#### Work Step by Step

The volume of a cube is given by the formula V=$(4s)^{3}$ The volume of a cylinderis given by the formula V=$\pi s^{2} \times$ h and since h=48 we get the formula $\pi s^{2} \times$ 48 Thus, Final volume= Volume of cube-volume of cylinder Final volume= V=$(4s)^{3}$ - $\pi s^{2} \times$ 48 Given that the 15=s we plug it into the equation to get the final volume. Final volume= V=$(4(15))^{3}$ - $\pi (15)^{2} \times$ 48 Final volume= 8474 $m^{3}$

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