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Arte-miy333 [17]
3 years ago
9

The volume of a cylinder is 81 cm3 if the radius is 3 cm what is the height of the cylinder

Mathematics
1 answer:
liq [111]3 years ago
5 0

Answer:

h = 2.86479 cm

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  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Geometry</u>

Volume of a Cylinder Formula: V = πr²h

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

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

<em>V</em> = 81 cm³

<em>r</em> = 3 cm

<u>Step 2: Solve for </u><em><u>h</u></em>

  1. Substitute in variables [Volume of a Cylinder Formula]:                                81 cm³ = (3.14)(3 cm)²h
  2. Evaluate exponents:                                                                                         81 cm³ = (3.14)(9 cm²)h
  3. Multiply:                                                                                                             81 cm³ = (28.2743 cm²)h
  4. [Division Property of Equality] Divide 28.2743 cm² on both sides:              2.86479 cm = h
  5. Rewrite:                                                                                                             h = 2.86479 cm
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