Answer:
The surface area of a cylinder can be calculated using the formula: Surface Area of Cylinder = 2πrh + 2πr^2, where r is the radius of the cylinder and h is the height of the cylinder.
To find the surface area when r is 3 inches and h is 5 inches, we can substitute these values into the formula.
Step 1: Calculate the first term of the formula: 2πrh
Substitute r = 3 inches and h = 5 inches into the formula:
2π(3)(5) = 30π
Step 2: Calculate the second term of the formula: 2πr^2
Substitute r = 3 inches into the formula:
2π(3)^2 = 18π
Step 3: Add the two terms together to find the total surface area:
30π + 18π = 48π
Therefore, when the radius is 3 inches and the height is 5 inches, the surface area of the cylinder is 48π square inches.