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

What Is The Surface Area Of The Cylinder With Height 8 Cm And Radius 2 Cm Round Your Answer To The Nearest Thousandth class=

Sagot :

Space

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
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