Answer:
The surface area of a right circular cylinder is given by:
A = 2πr² + 2πrh
where r is the radius of the base of the cylinder, h is the height of the cylinder, and π is the mathematical constant pi.
In this case, we have:
r = 4 cm
h = 7 cm
Plugging these values into the formula, we get:
A = 2π(4²) + 2π(4)(7)
A = 2π(16) + 2π(28)
A = 32π + 56π
A = 88π
Therefore, the exact surface area of the cylinder is 88π square centimeters.
Explanation: