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SIZIF [17.4K]
2 years ago
14

What is the volume of the cone below? ):

Mathematics
1 answer:
svetoff [14.1K]2 years ago
8 0

Answer:

A. 112π units³

General Formulas and Concepts:

<u>Symbols</u>

  • π (pi) ≈ 3.14

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Geometry</u>

Volume of a Cone Formula: \displaystyle V = \frac{1}{3} \pi r^2h

  • <em>r</em> is radius
  • <em>h</em> is height

Step-by-step explanation:

<u>Step 1: Define</u>

Radius <em>r</em> = 4

Height <em>h</em> = 21

<u>Step 2: Find Volume</u>

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