Surface Area of a Cylinder Math Example 3

Solution

1. 1
   Step 1: Recall the total surface area formula: $SA = 2\pi r^2 + 2\pi rh$.
2. 2
   Step 2: Calculate the area of the two circular bases: $2\pi r^2 = 2\pi(4)^2 = 2\pi(16) = 32\pi$.
3. 3
   Step 3: Calculate the lateral (curved) surface area: $2\pi rh = 2\pi(4)(10) = 80\pi$.
4. 4
   Step 4: Add them together: $SA = 32\pi + 80\pi = 112\pi \approx 351.86$ cm².