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Question:

What is the height of a solid right circular cylinder whose radius is 3 cm and total surface area is 60π cm²?

Explanation:

Total surface area of a cylinder = 2πrh + 2πr² = 60π

⇒ 2rh + 2r² = 60

⇒ 2 × 3 × h + 2 × 3² = 60

⇒ 2 × 3 × h + 18 = 60

⇒ 6 × h = 42

⇒ h = 7

Hence, option (c).