Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Appendix A - Review - A.2 Geometry Essentials - A.2 Assess Your Understanding - Page A19: 36

Answer

The volume of the sphere is $36\pi \text{ ft}^3$. The surface area of the sphere is $36\pi\text{ ft}^2$.

Work Step by Step

The volume $V$ of a sphere is given by the formula $V=\frac{4}{3}\pi{r}^3$ where $r$ the radius. Substitute the given values to obtain: $V=\dfrac{4}{3}\pi (3\text{ ft})^3$ $V=36\pi \text{ ft}^3$ Hence, the volume of the sphere is $36\pi \text{ ft}^3$. The surface area $S$ of a sphere is given by the formula $S=4\pi{r}^2$ where $r$ is the radius. Substitute the given values to obtain: $S=4\pi (3\text{ ft})^2$ $S=36\pi \text{ ft}^2$ Hence, the surface area of the sphere is $36\pi\text{ ft}^2$.
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