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A cylinder has a radius of 6cm and is 14cm high calculate its surface area

User HMage
by
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1 Answer

6 votes

Answer:

754 cm²

Explanation:

The total surface area of a cylinder
= Lateral Surface Area + Top surface area + Bottom Surface Area

Top and Bottom surfaces are both circles

Given radius r and height h

Lateral surface area = 2πrh

Top surface area = Bottom surface area = πr²

Top + Bottom surface area = πr² + πr² = 2πr²

With r = 6 and h = 14 cm

Total surface area
= 2πrh + 2πr²
= 2πr(h + r)

= 2π · 6(14 + 6)

= 12π (20)

= 240 π

≈ 754 cm²

User BugBurger
by
8.6k points

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