Question

The radius of a soccer ball is 4 inches. Approximately what volume of air can it hold? Use 3.14 for Pi. Round to the nearest tenth of a cubic inch.

Recall the formula V = four-thirds pi r cubed.

Inches cubed

Answer 1

v=267.9

Explanation:

took the test

Answer 2

`\text{Solve for the volume of the soccer ball}\\\\\text{We will use the sphere equation:}\\\\V=(4)/(3)\pi{r}^3\\\\\text{We'll evaluate pi as 3.14. Plug in and solve:}\\\\V=(4)/(3)(3.14)4^3\\\\V=(4)/(3)(3.14)64\\\\V=(4)/(3)(200.96)\\\\V=(803.84)/(3)\\\\V=267.946\\\\\text{Round to the nearest tenths place}\\\\\boxed{V=267.9\, in^3}`