Question

Ifthe radius of a cylinder is 4cm and height is 10cm, then the total surface area
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Answer 1

Area = Pi4 (exponent 2)
Area = 50.27

Answer 2

SA = 112π 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

Explanation:

Step 1: Define

Identify

r = 4 cm

h = 10 cm

Step 2: Find Surface Area

1. Substitute in variables [Surface Area of a Cylinder Formula]: SA = 2π(4 cm)(10 cm) + 2π(4 cm)²
2. Evaluate exponents: SA = 2π(4 cm)(10 cm) + 2π(16 cm²)
3. Multiply: SA = 80π cm² + 32π cm²
4. Add: SA = 112π cm²