The surface area of this cylinder is 533.8 square feet. The radius is 5 feet. What is the height? Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth.

Answer 1

Assuming your SA consists of the 2 circles plus the "sleeve" of the cylinder
SA = 2π r^2 + 2π rh
533.8 = 2π(25) + 2π(5h)
533.8 = 50π + 10πh
h = (533.8 - 50(3.14) ) / 31.4 = ....