1. **State the problem:** Find the volume of a cylinder with height $h = 17$ ft and radius $r = 6$ ft. 2. **Formula for the volume of a cylinder:** $$V = \pi r^2 h$$ This formula calculates the volume by multiplying the area of the circular base ($\pi r^2$) by the height ($h$). 3. **Substitute the given values:** $$V = \pi \times 6^2 \times 17$$ 4. **Calculate the square of the radius:** $$6^2 = 36$$ 5. **Multiply the values:** $$V = \pi \times 36 \times 17$$ 6. **Calculate the product of 36 and 17:** $$36 \times 17 = 612$$ 7. **Final volume expression:** $$V = 612\pi \text{ ft}^3$$ **Answer:** The volume of the cylinder is $612\pi$ cubic feet.