The volume of a cylinder is 81 cm3 if the radius is 3 cm what is the height of the cylinder

h = 2.86479 cm

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

V = 81 cm³

r = 3 cm

Step 2: Solve for h

Substitute in variables [Volume of a Cylinder Formula]:                                81 cm³ = (3.14)(3 cm)²hEvaluate exponents:                                                                                         81 cm³ = (3.14)(9 cm²)hMultiply:                                                                                                             81 cm³ = (28.2743 cm²)h[Division Property of Equality] Divide 28.2743 cm² on both sides:              2.86479 cm = hRewrite:                                                                                                             h = 2.86479 cm