Question

What is the surface area of a closed cylinder with a radius of 4 inches and a height of 6 inches?

Express your answer in terms of pi

48 cm²
40 cm²
32 cm²
80 cm²

Answer 1

The surface area of a closed cylinder is given by the formula 2πr^2 + 2πrh, where r is the radius and h is the height.

Substituting r = 4 and h = 6, we get:

Surface area = 2π(4^2) + 2π(4)(6)

Surface area = 2π(16) + 2π(24)

Surface area = 32π + 48π

Surface area = 80π

So, the surface area of the closed cylinder is 80π square inches.