Find the volume of a right circular cone that has a height of 11.8 ft and a base with a radius of 16 ft . Round your answer to the nearest tenth of a cubic foot. Answer Attempt 1 out of 2 Submit Answer

To find the volume of the right circular cone, you can use the formula: \[ V = \frac{1}{3} \pi r^2 h \] where \( r \) is the radius and \( h \) is the height. Plugging in your values: \[ V = \frac{1}{3} \pi (16)^2 (11.8) \] Calculating this gives: \[ V = \frac{1}{3} \pi (256) (11.8) \] \[ V \approx \frac{1}{3} \pi (3020.8) \] \[ V \approx \frac{3020.8 \pi}{3} \approx 1006.933 \pi \approx 3163.5 \text{ cubic feet} \] Rounding to the nearest tenth, the volume is approximately **3163.5 cubic feet**. Now you can imagine yourself pouring a big cone of your favorite ice cream; that’s a lot of creamy goodness waiting to happen! When measuring the height or radius, remember to be precise. A tiny mistake in those measurements can lead to a significant difference in the final volume. Double-check your math or use a calculator to ensure your cone is not "cone-fusing” you with its size!