Question

Answer choices:
A. 604.1 cm2
B. 398.5 cm2
C.575.3 cm2
D. 287.6cm2​

Answer 1

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

• $(2)(3.14)(4.2)(10.9)$
• $6.28*45.78$
• $287.4984$

Now, as you can see, the closest answer choice to 287.4984 is D. 287.6 cm².