A cylinder has a radius of 30 ft and a height of 19 ft. What is the exact surface area of the cylinder?
The exact surface area of a cylinder is given by the formula:
2πr² + 2πrh
where r is the radius and h is the height.
Substituting the values given in the question, we have:
2π(30)² + 2π(30)(19)
Simplifying:
2π(900) + 2π(570)
2π(900 + 570)
2π(1470)
The exact surface area of the cylinder is:
2940π square feet.