Question

a bouncy ball pit at a play ground is shaped like a cylinder with a 12 foot diameter and is 3 feet high. if 20 balls can fit into 1 cubic foot, approximately how many balls are in the ball pit?

Answer 1

$$V_{cylinder} = \pi R^{2} \cdot H$$

D=12 ft – diameter

H = 3 ft – high

$$\pi = 3.14$$ $$R = \frac{D}{2} = \frac{12}{2} = 6 \text{ ft}$$

$V = 3.14 \cdot 6^{2} \cdot 3 = 339,12$ cubic feet

if 20 balls can fit into 1 cubic foot then there are approximately $339.12 * 20 \approx 6782$ balls in cylinder ball pit