Question

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

Answer 1

Answer:

h = 2.86479 cm

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  

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Geometry

Volume of a Cylinder Formula: V = πr²h

• r is radius
• h is height

Step-by-step explanation:

Step 1: Define

Identify

V = 81 cm³

r = 3 cm

Step 2: Solve for h

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