Ifthe radius of a cylinder is 4cm and height is 10cm, then the total surface area
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SA = 112π cm²

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

Geometry

Surface Area of a Cylinder Formula: SA = 2πrh + 2πr²

r is radiush is height

Step-by-step explanation:

Step 1: Define

Identify

r = 4 cm

h = 10 cm

Step 2: Find Surface Area

Substitute in variables [Surface Area of a Cylinder Formula]:                       SA = 2π(4 cm)(10 cm) + 2π(4 cm)²Evaluate exponents:                                                                                        SA = 2π(4 cm)(10 cm) + 2π(16 cm²)Multiply:                                                                                                             SA = 80π cm² + 32π cm²Add:                                                                                                                   SA = 112π cm²