Question

What is the volume of this shape in terms of π (PI)?

Answer 1

Explanation:

1/3 bh=96 pi/3=32 pi

Answer 2

`\displaystyle V = 32\pi \ in^3`

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

Identify

r = 4 in

h = 6 in

Step 2: Find Volume

1. Substitute in variables [Volume of a Cone Formula]:
   `\displaystyle V = (1)/(3) \pi (4 \ in)^2(6 \ in)`
2. Evaluate exponents:
   `\displaystyle V = (1)/(3) \pi (16 \ in^2)(6 \ in)`
3. Multiply:
   `\displaystyle V = (1)/(3) \pi (96 \ in^3)`
4. Multiply:
   `\displaystyle V = 32\pi \ in^3`