Adam decides to estimate the volume of an orange by modeling it as a sphere. He measures its radius as 5.9 cm . Find the orange's volume in cubic centimeters. Round your answer to the nearest tenth if necessary.

To find the volume of the orange modeled as a sphere, you can use the formula for the volume of a sphere, which is V = (4/3)πr³. Here, the radius (r) is 5.9 cm. Plugging that into the formula gives: V = (4/3)π(5.9)³ ≈ (4/3)π(205.379) ≈ 861.07 cm³. Rounding to the nearest tenth, the volume of the orange is approximately 861.1 cm³. When calculating the volume of a sphere, one common mistake is forgetting to cube the radius before multiplying. For instance, simply multiplying the radius by π or using the incorrect exponent will lead to an inaccurate volume. Always ensure you cube the radius and apply the full formula to get the correct answer. Also, consider using a scientific calculator to avoid errors when calculating π.