Find the volume of a right circular cone that has a height of 6.5 cm and a base with a radius of 8.5 cm . Round your answer to the nearest tenth of a cubic centimeter. 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, \( h = 6.5 \) cm, - Radius of the base of the cone, \( r = 8.5 \) cm. Substitute the given values into the formula: \[ V = \frac{1}{3} \pi (8.5)^2 (6.5) \] Now, we can calculate the volume of the cone. Calculate the value by following steps: - step0: Calculate: \(\frac{1}{3}\pi \times 8.5^{2}\times 6.5\) - step1: Convert the expressions: \(\frac{1}{3}\pi \left(\frac{17}{2}\right)^{2}\times 6.5\) - step2: Multiply the terms: \(\frac{13}{6}\pi \left(\frac{17}{2}\right)^{2}\) - step3: Multiply: \(\frac{13\pi }{6}\left(\frac{17}{2}\right)^{2}\) - step4: Evaluate the power: \(\frac{13\pi }{6}\times \frac{17^{2}}{2^{2}}\) - step5: Multiply the fractions: \(\frac{13\pi \times 17^{2}}{6\times 2^{2}}\) - step6: Multiply: \(\frac{3757\pi }{24}\) The volume of the right circular cone is approximately 491.79015 cubic centimeters. Rounded to the nearest tenth of a cubic centimeter, the volume of the cone is approximately 491.8 cubic centimeters.