Answer:
D. 287.6 cm²
Step-by-step explanation:
» Concept
The lateral surface area of a 3D figure is the surface area of the solid, excluding the bases. For a cylinder, the bases are the two circles on top and bottom. The formula to find the LSA of a cylinder is 2πrh, where r = radius of the circle and h = height.
» Application
We are asked to find the lateral surface area of the cylinder given the radius as 4.2 cm and the height as 10.9 cm.
» Solution
- [tex](2)(3.14)(4.2)(10.9)[/tex]
- [tex]6.28*45.78[/tex]
- [tex]287.4984[/tex]
Now, as you can see, the closest answer choice to 287.4984 is D. 287.6 cm².
