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What is the volume of the cone to the nearest cubic millimeter? (Use ​π = 3.14)
A) 52 mm^3
B) 157 mm^3
C) 209 mm^3
D) 628 mm^3

What is the volume of the cone to the nearest cubic millimeter Use π 314 A 52 mm3 B 157 mm3 C 209 mm3 D 628 mm3 class=

Respuesta :

Space

Answer:

C) 209 mm³

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: [tex]\displaystyle V = \frac{1}{3} \pi r^2h[/tex]

  • r is radius
  • h is height

Step-by-step explanation:

Step 1: Define

Radius r = 5 mm

Height h = 8 mm

Step 2: Solve

  1. Substitute in variables [Volume of a Cone Formula]:                                    [tex]\displaystyle V = \frac{1}{3} (3.14) (5 \ mm)^2(8 \ mm)[/tex]
  2. [Volume] Evaluate exponents:                                                                         [tex]\displaystyle V = \frac{1}{3} (3.14) (25 \ mm^2)(8 \ mm)[/tex]
  3. [Volume] Multiply:                                                                                             [tex]\displaystyle V = (1.04667)(25 \ mm^2)(8 \ mm)[/tex]
  4. [Volume] Multiply:                                                                                             [tex]\displaystyle V = (26.1667 \ mm^2)(8 \ mm)[/tex]
  5. [Volume] Multiply:                                                                                             [tex]\displaystyle V = 209.333 \ mm^3[/tex]

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