Volume Math Example 2

Solution

1. 1
   A cylinder's volume equals the area of its circular base times its height: $V = \pi r^2 h$. The circular base has area $\pi r^2$.
2. 2
   Substitute $r = 3$ cm and $h = 10$ cm: $V = \pi (3)^2 (10) = 9\pi \times 10$.
3. 3
   Compute: $V = 90\pi$ cm³ $\approx 282.7$ cm³. Leaving the answer in terms of $\pi$ is exact; multiplying by $\pi \approx 3.14159$ gives the decimal approximation.