Question

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

cylinder with radius labeled 1 and three fourths centimeters and a height labeled 3 and one fourth centimeters

30 and three sixteenths times pi square centimeters
35 and seven eighths times pi square centimeters
11 and thirteen sixteenths times pi square centimeters
17 and one half times pi square centimeters

Answer 1

17 and one half times pi square centimeters.

Explanation:

Answer 2

17 and one half times pi square centimeters.

Explanation:

The formula for the surface area (A) of a cylinder with radius r and height h is:

A = 2πr^2 + 2πrh

Substituting the given values of the radius and height into the formula, we get:

A = 2π(1 and 3/4)^2 + 2π(1 and 3/4)(3 and 1/4)

Simplifying this expression gives:

A = 2π(49/16) + 2π(7/4)(13/4)

A = (35/2)π

A=17 and one half times π square centimeters