A cylinder has a radius of 30 ft and a height of 19 ft. What is the exact surface area of the cylinder?
To find the exact surface area of a cylinder, you need to use the formula:
Surface Area = 2πr^2 + 2πrh
where r is the radius of the cylinder and h is the height of the cylinder.
Given that the radius, r, is 30 ft and the height, h, is 19 ft, we can substitute these values into the formula:
Surface Area = 2π(30^2) + 2π(30)(19)
= 2π(900) + 2π(570)
= 1800π + 1140π
= 2940π
So the exact surface area of the cylinder is 2940π square feet.