What is the surface area of a cylinder when r = 3 centimeters and h = 4 centimeters?
To find the surface area of a cylinder, we need to add the area of the top and bottom circular bases to the lateral surface area. The formula for the surface area of a cylinder is:
SA = 2πrh + 2πr^2
where r is the radius of the circular base, h is the height of the cylinder, and π is the constant pi.
Plugging in the values given in the problem, we get:
SA = 2π(3 cm)(4 cm) + 2π(3 cm)^2
SA = 24π + 18π
SA = 42π
Therefore, the surface area of the cylinder is 42π square centimeters, or approximately 131.95 square centimeters if rounded to two decimal places.