Question

The formula for the surface area of a cylinder is SA = 2πrh + 2πr^2. What is the surface area of a cylinder when r = 3 centimeters and h = 4 centimeters?

A. 32 cm²
B. 42 cm²
C. 36 cm²
D. 281 cm²

Answer 1

The surface area of the cylinder is approximately 132 cm².

Step-by-step explanation:

To find the surface area of a cylinder when r = 3 centimeters and h = 4 centimeters, plug the values into the formula SA = 2πrh + 2πr^2.

Substituting the values, we get:

SA = 2π(3 cm)(4 cm) + 2π(3 cm)^2

SA = 24π cm^2 + 18π cm^2

SA = 42π cm^2.

Approximating π as 3.14, we have SA ≈ 42(3.14) = 131.88 cm^2. Rounded to the nearest whole number, the surface area of the cylinder is approximately 132 cm².