Joey is an awesome basketball player. He is curious to know how much air is inside of the basketball if it has a diameter of 16 inches. \( 2144.7 \mathrm{in}^{3} \) \( 17157.3 \mathrm{in}^{3} \) \( 682.7 \mathrm{in}^{3} \) \( 201 . \mathrm{lin}^{3} \)

To find the volume of a basketball, you can use the formula for the volume of a sphere: \( V = \frac{4}{3} \pi r^3 \). Since the diameter is 16 inches, the radius \( r \) is half of that, which is 8 inches. Plugging this into the formula gives you \( V = \frac{4}{3} \pi (8)^3 \) which calculates to approximately 2144.7 cubic inches. So, Joey can be assured that the basketball holds about 2144.7 \( \mathrm{in}^{3} \) of air! Basketballs are not just balls of air; they also have a bladder that holds the air and layers of material that give them their structure and durability. This makes them fun to bounce and shoot! The materials used can vary, with professional games often using synthetic leather, while recreational versions might be rubber. As Joey enjoys the game, he can appreciate how design plays a crucial role in his favorite sport.