Question

What is the surface area of the cylinder in terms of ? The diagram is not drawn to scale.

Answer 1

SA = 748π in²

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

Explanation:

Step 1: Define

Identify variables

r = 11 in

h = 23 in

Step 2: Find Surface Area

1. Substitute in variables [Surface Area of a Cylinder Formula]: SA = 2π(11 in)(23 in) + 2π(11 in)²
2. Evaluate exponents: SA = 2π(11 in)(23 in) + 2π(121 in²)
3. Multiply: SA = 506π in² + 242π in²
4. Add: SA = 748π in²