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galben [10]
2 years ago
11

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

Mathematics
1 answer:
Delicious77 [7]2 years ago
7 0

Answer:

SA = 748π in²

General Formulas and Concepts:

<u>Symbols</u>

  • π (pi) ≈ 3.14

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Geometry</u>

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

  • <em>r</em> is radius
  • <em>h</em> is height

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

<em>r</em> = 11 in

<em>h</em> = 23 in

<u>Step 2: Find Surface Area</u>

  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
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