Subjects geometry

Cylinder Area Volume 11Fb1B

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1. **State the problem:** Calculate the cross-sectional area and volume of a cylinder with radius $r=15$ cm and height $h=17$ cm. 2. **Formulas:** - Cross-sectional area (area of the circular base): $$A = \pi r^2$$ - Volume of the cylinder: $$V = A \times h = \pi r^2 h$$ 3. **Calculate the cross-sectional area:** $$A = \pi \times 15^2 = \pi \times 225 = 225\pi$$ Using $\pi \approx 3.1416$: $$A \approx 225 \times 3.1416 = 706.858$$ Rounded to 1 decimal place: $$A \approx 706.9\ \text{cm}^2$$ 4. **Calculate the volume:** $$V = 225\pi \times 17 = 3825\pi$$ 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 $= 706.9\ \text{cm}^2$ - Volume $= 12018.6\ \text{cm}^3$
15 cm17 cm