Question

The volume of a right cylinder is 2,000π cubic feet, and the height is 20 feet. What is the length of the radius in feet?

Answer 1

Answer:10 ft

Explanation:

Answer 2

r = 10 ft

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

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

Explanation:

Step 1: Define

Identify variables

Volume V = 2000π ft³

Height h = 20 ft

Radius r = unknown

Step 2: Solve for r

1. Substitute in variables [Volume of a Right Cylinder Formula]: 2000π ft³ = πr²(20 ft)
2. [Division Property of Equality] Isolate r term: 100 ft² = r²
3. Rewrite: r² = 100 ft²
4. [Equality Property] Square root both sides: r = 10 ft