What is the surface area of the cylinder with height 8 cm and radius 2 cm? Round your answer to the nearest thousandth.

SA = 125.664 cm²

General Formulas and Concepts:

Symbols

π (pi) ≈ 3.14

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Surface Area of a Cylinder Formula: SA = 2πrh + 2πr²

r is radiush is height

Step-by-step explanation:

Step 1: Define

Identify variables

r = 2 cm

h = 8 cm

Step 2: Find SA

Substitute in variables [Surface Area of a Cylinder Formula]:                       SA = 2π(2 cm)(8 cm) + 2π(2 cm)²Evaluate exponents:                                                                                         SA = 2π(2 cm)(8 cm) + 2π(4 cm²)Multiply:                                                                                                             SA = 32π cm² + 8π cm²Add:                                                                                                                   SA = 40π cm²Evaluate:                                                                                                           SA = 125.664 cm²