Question

What is the volume of the cone below?
A. 1022496 units 3
B. 34087 units3
C. 8527 units3
D. 51121 units3

Answer 1

Answer:

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: $\displaystyle V = \frac{1}{3} \pi r^2h$

• r is radius
• h is height

Step-by-step explanation:

Step 1: Define

Radius r = 12

Height h = 71

Step 2: Find Volume

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

Answer 2

Here's the solution :

we know,

$\boxed{volume = \frac{1}{3} \pi {r}^{2} h}$

now, let's solve

• $v = \dfrac{1}{3} \times \pi \times {12}^{2} \times 71$

• $\dfrac{\pi}{3} \times 144 \times 71$

• $\pi \times 48 \times 71$

• $\boxed{3408\pi \: \: \: unit {}^{3} }$