Answer:
131.88 cm²
Step-by-step explanation:
The surface area of a cylinder is 2πr² + 2πrh
Since the figure we are dealing here is a quarter of a cylinder, divide the equation by 4.
New equation =
[tex]\frac{2\pi r^{2}+2\pi rh}{4}[/tex]
We know:
r = 6 cm
h = 8 cm
Now substitute the values and solve:
[tex]\frac{2(3.14)(6)^{2} +2(3.14)(6)(8)}{4}[/tex]
[tex]\frac{226.08+301.44}{4}[/tex]
[tex]\frac{527.52}{4}[/tex]
= 131.88 cm²
