Volume of a Cone Math Example 2

Solution

1. 1
   Step 1: Use $V = \frac{1}{3}\pi r^2 h$ and substitute $V = 75\pi$ and $r = 5$.
2. 2
   Step 2: $75\pi = \frac{1}{3}\pi (5)^2 h = \frac{1}{3}\pi \times 25 \times h = \frac{25\pi h}{3}$.
3. 3
   Step 3: Multiply both sides by 3: $225\pi = 25\pi h$.
4. 4
   Step 4: Divide by $25\pi$: $h = \frac{225}{25} = 9$ cm.