Answer :

Space

Answer:

[tex]\displaystyle r = 7[/tex]

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  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

Geometry

Volume of a Cone Formula: [tex]\displaystyle V = \frac{\pi}{3} r^2h[/tex]

  • r is radius
  • h is height

Step-by-step explanation:

Step 1: Define

Identify variables

V = 294π

h = 18

Step 2: Solve for r

  1. Substitute in variables [Volume of a Cone Formula]:                                    [tex]\displaystyle 294 \pi = \frac{\pi}{3} r^2(18)[/tex]
  2. Multiply:                                                                                                             [tex]\displaystyle 294 \pi = 6 \pi r^2[/tex]
  3. [Division Property of Equality] Divide 6π on both sides:                               [tex]\displaystyle 49 = r^2[/tex]
  4. [Equality Property] Square root both sides:                                                   [tex]\displaystyle 7 = r[/tex]
  5. Rewrite:                                                                                                             [tex]\displaystyle r = 7[/tex]

Other Questions