The volume of a cylinder with a height of 8 ft is 480 ft³. Find the radius of the base of the cylinder. Round to the nearest hundredth. A) 4.37 ft B) 19.10 ft C) 13.73 ft D) 5.85 ft E) 3.60 ft

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Quizplus · Accepted Answer

The volume of a cylinder is given by the formula $V = \pi r^2 h$, where $V$ is the volume, $r$ is the radius, and $h$ is the height. Given $V = 480$ ft$^3$ and $h = 8$ ft, we can solve for $r$:$$480 = \pi r^2 \times 8$$$$60 = \pi r^2$$$$r^2 = \frac{60}{\pi}$$$$r = \sqrt{\frac{60}{\pi}} \approx 4.37 \text{ ft}$$

The Volume of a Cylinder with a Height of 8