Question

find the surface area of a cylinder with a base diameter of 8 yd and a height of 7 yd . write your answer in terms of π , and be sure to include the correct unit.

Answer 1

The surface area (SA) of the cylinder is the sum of its lateral area (LA) and twice the area of its base (BA)
SA = LA + 2BA
The lateral area is the circumference of the base times the height LA = πdh. The area of the base is the area of the circle, BA = πd²/4
Substituting the given values to the equation,
SA = π(8 yd)(7 yd) + 2 x (π)(8 yd)²/4

Thus, the surface area of the cylinder is 88π yd².