Question

What is the volume of the cone below?

A. 1022496 units 3
B. 34087 units3
C. 8527 units3
D. 51121 units3

Answer 1

Here's the solution :

we know,

`\boxed{volume = (1)/(3) \pi {r}^(2) h}`

now, let's solve

• 
  `v = (1)/(3) * \pi * {12}^(2) * 71`

• 
  `(\pi)/(3) * 144 * 71`

• 
  `\pi * 48 * 71`

• 
  `\boxed{3408\pi \: \: \: unit {}^(3) }`

Answer 2

B. 3408π units³

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

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 = 12

Height h = 71

Step 2: Find Volume

1. Substitute in variables [Volume of a Cone Formula]:
   `\displaystyle V = (1)/(3) \pi (12)^2(71)`
2. Evaluate exponents:
   `\displaystyle V = (1)/(3) \pi (144)(71)`
3. Multiply:
   `\displaystyle V = (1)/(3) \pi (10224)`
4. Multiply:
   `\displaystyle V = 3408 \pi`