Question

What is the volume of the cone below? ):

Answer 1

A. 112π units³

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

Geometry

Volume of a Cone Formula:
`\displaystyle V = (1)/(3) \pi r^2h`

• r is radius
• h is height

Explanation:

Step 1: Define

Radius r = 4

Height h = 21

Step 2: Find Volume

1. Substitute in variables [Volume of a Cone Formula]:
   `\displaystyle V = (1)/(3) \pi (4)^2(21)`
2. Evaluate exponents:
   `\displaystyle V = (1)/(3) \pi (16)(21)`
3. Multiply:
   `\displaystyle V = (16 \pi)/(3)(21)`
4. Multiply:
   `\displaystyle V = 16 \pi \cdot 7`
5. Multiply:
   `\displaystyle V = 112 \pi`