Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 5 - Section 5.4 - Multiplying Polynomials - Exercise Set - Page 290: 106

Answer

$(7 \pi y^{3}-42 \pi y^{2} +63 \pi y) $ $cm ^{3}$

Work Step by Step

Given, Radius $(r) = y-3$ cm Height $(h) = 7y$ cm Volume of the cylinder $V = \pi r^{2} h$ $V = \pi (y-3)^{2} \times 7y$ $cm ^{3}$ $V = 7\pi y (y-3)^{2} $ $cm ^{3}$ Using $(a-b)^{2} = a^{2} -2ab +b^{2} $ $V = 7\pi y (y^{2}-6y+9) $ $cm ^{3}$ $V = (7 \pi y^{3}-42 \pi y^{2} +63 \pi y) $ $cm ^{3}$
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