Find the volume of a right circular cone that has a height of 13.8 ft and a base with a radius of 7.8 ft . Round your answer to the nearest tenth of a cubic foot. Answer Attempt 1 out of 2
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To find the volume of a right circular cone, you can use the formula: \[ V = \frac{1}{3} \pi r^2 h \] where \( r \) is the radius of the base and \( h \) is the height. Plugging in your values: \[ V = \frac{1}{3} \pi (7.8)^2 (13.8) \] Calculating gives approximately \( V \approx 229.4 \) cubic feet. Rounding to the nearest tenth, the volume is roughly 229.4 ft³. You've got your cone volume down pat, but if you’re like most of us, you might have made a mistake in forgetting to convert units if needed or not rounding correctly! Double-check your calculations and the formula, and remember, a small digit can make a big difference. Also, remember that \(\pi\) is typically approximated as 3.14 for quick estimates, but using its fuller form will give you more accuracy.