Question

part 1 of 3
the surface of a cylindrical tank is being painted. the total surface area of a cylindrical tank is the sum of two area functions. complete parts a through c below.

a. write a function that gives the total area of the two circular ends as a function of radius.
f(r) =
(type an exact answer, using π as needed.)

Explanation:

Step1: Recall area of one circle

The area of a single circle with radius $r$ is $\pi r^2$.

Step2: Calculate total area of two circles

Multiply the area of one circle by 2 to get the total area of two identical circular ends.
$2 \times \pi r^2 = 2\pi r^2$

Answer:

$f(r)=2\pi r^2$