Answer:
A. 8 cm
Step-by-step explanation:
Total surface of a cylinder = 130π cm²
Diameter (d) = 10 cm
Radius (r) = 10/2 = 5 cm
Height = ?
Formula for total surface area of cylinder = 2πrh + 2πr²
Plug in the values
130π = 2*π*5*h + 2*π*5²
130π = 10hπ + 50π
130π = π(10h + 50)
Divide both sides by π
130 = 10h + 50
Subtract 50 from each side
130 - 50 = 10h
80 = 10h
Divide both sides by 10
80/10 = 10h/10
8 = h
h = 8 cm
