A cone has a height of 17 inches and a diameter of 12 inches. What is its volume? Use \( \pi \approx 3.14 \) and round your answer to the nearest hundredth.

To find the volume of the cone, you can use the formula: \[ V = \frac{1}{3} \pi r^2 h \] First, calculate the radius by taking half of the diameter, which is \( r = \frac{12}{2} = 6 \) inches. Then, substitute the values into the formula: \[ V = \frac{1}{3} \times 3.14 \times (6^2) \times 17 \] Calculating \( 6^2 \) gives \( 36 \). Now, substituting that back in: \[ V = \frac{1}{3} \times 3.14 \times 36 \times 17 \] Calculating further: \[ V \approx \frac{1}{3} \times 3.14 \times 612 = \frac{1}{3} \times 1926.48 \approx 642.16 \] So the volume of the cone is approximately **642.16 cubic inches**.