Answer:
Total Surface Area = 150.72 cm
Explanation:
Surface Area of a cylinder = 2 × area of base + lateral face
First find the area of the base
Area of Base = πr² ( pi × radius squared ) ( pi = 3.14 )
AB = 3.14 × 3²
AB = 3.14 × 9
Area of Base = 28.26
Next, find the lateral face
Lateral Face = circumference of base × altitude
( circumference of base = 2πr ) ( altitude = height of the cylinder )
LF = 2 × 3.14 × 3
Lateral Face = 18.84
Last, is the Surface Area
Surface Area of a cylinder = 2 × area of base + lateral face (formula)
SA = 2 × 28.26 + 18.84 × 5
SA = 56.52 + 18.84 × 5
SA = 56.52 + 94.2
Total Surface Area = 150.72