Answer:
a) 3 cm
b) 140 cm²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Geometry
- Circumference: C = 2πr
- Surface Area of a Cylinder: SA = 4πr²
Explanation:
Step 1: Define
C = 21 cm
Step 2: Find Radius r
- Substitute [C]: 21 = 2πr
- Isolate r: 21/(2π) = r
- Rewrite: r = 21/(2π)
- Evaluate: r = 3.34225 cm
- Round: r ≈ 3 cm
Step 3: Find Surface Area
- Substitute [SAS]: SA = 4π(3.34225 cm)²
- Exponents: SA = 4π(11.1707 cm²)
- Multiply: SA = 44.6826π cm²
- Multiply: SA = 140.375 cm²
- Round: SA ≈ 140 cm²