Answer:
131.88 cm²
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 =
![(2\pi r^(2)+2\pi rh)/(4)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/q3h69js7nxh16re2ektg6j56ufywitbdba.png)
We know:
r = 6 cm
h = 8 cm
Now substitute the values and solve:
![(2(3.14)(6)^(2) +2(3.14)(6)(8))/(4)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/t4gj7o7nqbeboc2j56whzv22vtju3bo129.png)
![(226.08+301.44)/(4)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/etr8nxhaid47bnb43arx7ecel99w2nvwk3.png)
![(527.52)/(4)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/uix9ty93fv4cas4h86hs0i5std05pau813.png)
= 131.88 cm²