Formula of sphere
Example
The volume of the sphere pictured on the left is:
$$ v = \frac{4}{3} \pi r^3 \\ v = \frac{4}{3} \pi \cdot 3^3 \\ v = 36 \pi \\ = 113.1 \\ $$
Practice Problems
Problem 1
$$ v = \frac{4}{3} \pi r^3 \\ v = \frac{4}{3} \pi \cdot 7^3 \\ = 457.3 \text{ cubic inches} \\ $$
Problem 2
First, remember that we need to divide the diameter by 2 to get the radius of 5 for our formula:
$$ v = \frac{4}{3} \pi r^3 \\ v = \frac{4}{3} \pi \cdot 5^3 \\ v = 36 \pi \\ = 523.6 \text{ cubic inches} \\ $$
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