What is the volume of a sphere with a radius of 6.7 m , rounded to the nearest tenth of a cubic meter?

To find the volume of a sphere, you can use the formula V = (4/3)πr³. Plugging in the radius of 6.7 m: V = (4/3)π(6.7)³ ≈ (4/3)π(299.53) ≈ 1258.3 m³. Therefore, the volume, rounded to the nearest tenth, is approximately 1258.3 cubic meters. The concept of volume plays a crucial role in various fields, such as engineering, architecture, and environmental science. Understanding how to calculate the volume of different shapes allows professionals to design efficient spaces and structures, estimate materials needed for construction, and manage resources effectively, ensuring that real-world applications thrive on solid mathematical principles. One common mistake when calculating the volume of a sphere is to forget the (4/3) factor in the formula. Another is inaccurately rounding the radius or using the wrong units. When you calculate, ensure your radius is correctly cubed before multiplying by π and the scaling factor. This leads to more accurate and reliable results!