Respuesta :

Space

Answer:

The volume of the cylinder is approximately 1570.8 cm³.

General Formulas and Concepts:
Pre-Algebra

Order of Operations: BPEMDAS

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

Geometry

Volume Formula [Cylinder]:
[tex]\displaystyle V = \pi r^2 h[/tex]

  • r is radius
  • h is height

Step-by-step explanation:

Step 1: Define

Identify given variables.

h = 5 cm

r = 10 cm

Step 2: Find Volume

  1. [Volume Formula - Cylinder] Substitute in variables:
    [tex]\displaystyle V = \pi (10 \ \text{cm})^2 (5 \ \text{cm})[/tex]
  2. [Order of Operations] Evaluate:
    [tex]\displaystyle V = 500 \pi \ \text{cm}^3[/tex]
  3. Approximate:
    [tex]\displaystyle V \approx \boxed{ 1570.8 \ \text{cm}^3 }[/tex]

∴ the volume of a cylinder whose height is 5 cm and radius is 10 cm is approximately 1570.8 cm³.

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Learn more about Geometry: https://brainly.com/question/9774838

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Topic: Geometry

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