\( V=\frac{4}{3} \times \pi \times r^{3} \quad \) Volume of a sphere \( =? \) Radius: 3

To find the volume of a sphere with a radius of 3, plug in the value into the formula: \( V = \frac{4}{3} \times \pi \times (3)^{3} = \frac{4}{3} \times \pi \times 27 = 36\pi \). This means the volume is approximately \( 113.1 \) cubic units when you use \( \pi \approx 3.14 \). Did you know that the concept of a sphere has been around since ancient times? Babylonians were among the first to study spherical shapes, but it was the ancient Greeks, like Euclid and Archimedes, who really nailed down the mathematics behind them. They even connected spheres to the universe, believing celestial bodies were spherical in nature! Fun fact: the Earth itself isn't a perfect sphere, but rather an oblate spheroid, slightly flattened at the poles!