Question

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

Answer 1

Answer:

SA = 125.664 cm²

General Formulas and Concepts:

Symbols

• π (pi) ≈ 3.14

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Geometry

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

• r is radius
• h is height

Step-by-step explanation:

Step 1: Define

Identify variables

r = 2 cm

h = 8 cm

Step 2: Find SA

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