1. **State the problem:** We need to calculate the cross-sectional area and the volume of a cylinder with radius $r=15$ cm and height $h=17$ cm. 2. **Calculate the cross-sectional area:** The cross-sectional area of a cylinder is the area of its circular base. The formula for the area of a circle is: $$ A = \pi r^2 $$ Substitute $r=15$ cm: $$ A = \pi \times 15^2 = \pi \times 225 = 225\pi $$ Using $\pi \approx 3.1416$: $$ A \approx 225 \times 3.1416 = 706.858 $$ Rounded to 1 decimal place: $$ A \approx 706.9 \text{ cm}^2 $$ 3. **Calculate the volume of the cylinder:** The volume formula for a cylinder is: $$ V = A \times h = \pi r^2 h $$ Substitute $r=15$ cm and $h=17$ cm: $$ V = \pi \times 15^2 \times 17 = \pi \times 225 \times 17 = 3825\pi $$ Using $\pi \approx 3.1416$: $$ V \approx 3825 \times 3.1416 = 12018.6 $$ Rounded to 1 decimal place: $$ V \approx 12018.6 \text{ cm}^3 $$ **Final answers:** - Cross-sectional area $\approx 706.9$ cm$^2$ - Volume $\approx 12018.6$ cm$^3$