Question

12.3456Val measures the diameter of a ball as 14 inches. How many cubic inches of air does this ball hold, to thenearest tenth? Use 3.14 for it.The ball holds aboutcubic inches of air.

Answer 1

Volume of a sphere = (4/3) * Pi * r^3

Diameter = 14 inches ==> radius = diameter/2 = 14/2 = 7 ==> r = 7

$V\text{ = }\frac{4}{3}\cdot\pi\cdot r^3=\frac{4}{3}\cdot3.14\cdot7^3=\frac{4}{3}\cdot3.14\cdot343=\frac{4}{3}\cdot1077.02=\frac{4308.08}{2}=2154.04$

Answer:

About 2154 cubic inches