The volume of a cylinder is 81 cm3 if the radius is 3 cm what is the height of the cylinder
1 answer:
Answer:
h = 2.86479 cm
General Formulas and Concepts:
<u>Symbols</u>
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
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>
- Substitute in variables [Volume of a Cylinder Formula]: 81 cm³ = (3.14)(3 cm)²h
- Evaluate exponents: 81 cm³ = (3.14)(9 cm²)h
- Multiply: 81 cm³ = (28.2743 cm²)h
- [Division Property of Equality] Divide 28.2743 cm² on both sides: 2.86479 cm = h
- Rewrite: h = 2.86479 cm
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