Respuesta :

Space

Answer:

B. 5070π in³

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 Cylinder Formula: V = πr²h

  • r is radius
  • h is height

Step-by-step explanation:

Step 1: Define

Identify variables

r = 13 in

h = 30 in

Step 2: Find Volume

  1. Substitute in variables [Volume of a Cylinder Formula]:                                V = π(13 in)²(30 in)
  2. Evaluate exponents:                                                                                         V = π(169 in²)(30 in)
  3. Multiply:                                                                                                             V = 5070π in³

Answer:

[tex]\large\fbox{B. 5070 π inches³}[/tex]

Step-by-step explanation:

We have given that :-

  • Radius of cylinder , r = 13 inches
  • Height of cylinder , h = 30 inches

We need to find :-

The Volume of cylinder

Formula Used :-

Volume of cylinder = π × r ² × h

Where,

  • r is the radius of cylinder
  • h is the height of cylinder

Solution :-

Using Formula

➛Volume of cylinder = π × r ² × h

substitute the values into the formula

➛ Volume of cylinder = π × ( 13 inches)² × 30 inches.

Evaluate exponent

➛ Volume of cylinder = π × 169 inches ² × 30 inches.

multiply, we get

➛ Volume of cylinder = 5070 π inches ³.

Therefore, option B which is 5070 π inches³ is the correct ☑ answer.

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