A cylindrical bottle has a volume of 1,413 in3 and a radius of 5 inches. What is the height of the bottle?​

h = 17.9909 in

General Formulas and Concepts:

Symbols

π (pi) ≈ 3.14

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition 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 Cylinder Formula: V = πr²h

r is radiush is height

Step-by-step explanation:

Step 1: Define

Identify variables

V = 1413 in³

r = 5 in

Step 2: Solve for h

Substitute in variables [Volume of a Cylinder Formula]:                               1413 in³ = π(5 in)²hEvaluate exponents:                                                                                         1413 in³ = π(25 in²)h[Division Property of Equality] Divide π on both sides:                                  449.772 in³ = (25 in²)h[Division Property of Equality] Divide 25 on both sides:                               17.9909 in = hRewrite:                                                                                                             h = 17.9909 in

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