Answer
$$2 \pi$$
Work Step by Step
We need to integrate the integral to compute the volume.
$$Volume= \pi \int_{-1}^{1} 5y^4 \space dy \\=\pi \times (y^5) ]_{-1}^1 \\= \pi [1-(-1)] \\ =2 \pi$$
University Calculus: Early Transcendentals (3rd Edition)
by Hass, Joel R.; Weir, Maurice D.; Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0321999584
ISBN 13:
978-0-32199-958-0
Chapter 6 - Section 6.1 - Volumes Using Cross-Sections - Exercises - Page 356: 31
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