Question

Determine the exact surface area of the cylinder in terms of π.

cylinder with radius labeled 1 and one fourth centimeters and a height labeled 2 and three fourths centimeters

6 and 9 over 16 times pi square centimeters
10 times pi square centimeters
15 and 15 over 16 times pi square centimeters
19 and three eighths times pi square centimeters

Answer 1

(b) 10π square centimeters

Explanation:

You want the total surface area of a cylinder 1 1/4 cm in radius and 2 3/4 cm in height.

Area

The surface area is given by the formula ...

A = 2πr(r +h)

Application

Filling in the given dimensions, we find the surface area to be ...

A = 2π(1 1/4)(1 1/4 +2 3/4) = 5/2π(4) = 10π . . . . cm²