The volume of a cylinder is the same as its total surface area. Given that the radius is 3 cm, determine the height of the cylinder.
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Correct answer: C
Explanation
radius r = 3 cm
According to the formula:
Volume = πr²h
Total surface area = 2πr(r + h)
πr²h = 2πr(r + h)
π × 3² × h = 2π × 3 × (3 + h)
9h = 6(3 + h)
9h = 18 + 6h
9h − 6h = 18
3h = 18
h = 6 cm