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