The total surface area of the cylinder is 659.4 mm².
How to find the total surface area of a cylinder?
The diagram above is a cylinder. The total surface area of the cylinder can be found as follows;
Therefore,
total surface area of the cylinder = 2πr(r + h)
total surface area of the cylinder = 2πr² + 2πrh
where
- r = radius of the cylinder
- h = height of the cylinder
Therefore,
2πr² = 2(25π) = 50π mm²
total surface area of the cylinder = 50π + 2 × 16πr
25π = πr²
r = 5 mm
total surface area of the cylinder = 50π + 2 × 16 × 5πr
total surface area of the cylinder = 50π + 160π
total surface area of the cylinder = 210π
total surface area of the cylinder = 210 × 3.14
total surface area of the cylinder = 659.4 mm²