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

To find the volume of a right circular cone, we can use the formula: \[ V = \frac{1}{3} \pi r^2 h \] where: - \( V \) is the volume of the cone, - \( r \) is the radius of the base of the cone, - \( h \) is the height of the cone. Given: - Height of the cone, \( h = 13.8 \) ft, - Radius of the base of the cone, \( r = 7.8 \) ft. Substitute the given values into the formula: \[ V = \frac{1}{3} \pi (7.8)^2 (13.8) \] Now, we can calculate the volume of the cone. Calculate the value by following steps: - step0: Calculate: \(\frac{1}{3}\pi \times 7.8^{2}\times 13.8\) - step1: Convert the expressions: \(\frac{1}{3}\pi \left(\frac{39}{5}\right)^{2}\times 13.8\) - step2: Multiply the terms: \(\frac{23}{5}\pi \left(\frac{39}{5}\right)^{2}\) - step3: Multiply: \(\frac{23\pi }{5}\left(\frac{39}{5}\right)^{2}\) - step4: Evaluate the power: \(\frac{23\pi }{5}\times \frac{39^{2}}{5^{2}}\) - step5: Multiply the fractions: \(\frac{23\pi \times 39^{2}}{5\times 5^{2}}\) - step6: Multiply: \(\frac{34983\pi }{5^{3}}\) - step7: Evaluate the power: \(\frac{34983\pi }{125}\) The volume of the right circular cone is approximately 879.218686 cubic feet. Rounding to the nearest tenth of a cubic foot, the volume of the cone is approximately 879.2 cubic feet.