What is the volume of a hemisphere with a radius of 2.3 m , rounded to the nearest tenth of a cubic meter?

To find the volume of a hemisphere, you can use the formula \( V = \frac{2}{3} \pi r^3 \). Plugging in the radius of 2.3 m, we calculate: \[ V = \frac{2}{3} \pi (2.3)^3 \approx \frac{2}{3} \times 3.14159 \times 12.167 \approx 25.5 \text{ m}^3. \] So, the volume of the hemisphere is approximately 25.5 cubic meters when rounded to the nearest tenth. Did you know that hemispheres are not just found in geometry but pop up frequently in real-world applications? Take a look at half of a football or a dome on a building — both are hemispherical shapes! Understanding their volume can help in numerous fields, from architecture to sports science. When calculating volumes, attention to detail can save headaches! A common mistake is forgetting to cube the radius before applying it to the formula. Always check your calculations step-by-step to catch any oversights, especially with decimals — they can change everything!