Question

Which of the following formulas would find the surface area of a right cylinder where h is the height, r is the radius, LA is the lateral area, and BA is the base area?

Check all that apply.


A. R2 + rh

B. 2r2 + 2rh

C. BA + LA

D. LA + (r2)

E. BA + 2r2

Answer 1

Surface area = LA+2BA

Explanation:

The surface area of a right cylinder is:

A=2πrh+2r^2π

2πrh is the Lateral Area, or LA

πr^2 is the Base Area, or BA. There are two bases, top and bottom, so we have 2r^2π or 2BA.

The answer options are given as:

A. R2 + rh

B. 2r2 + 2rh

C. BA + LA

D. LA + (r2)

E. BA + 2r2

But I don't see any exponents. For example, is 2r2 in B supposed to be 2r^2? What is R? At this point we can only say that the surface area of a right cylinder would be equal to: LA+2BA

LA = 2r^2π and BA = 2r^2π

Try matching this information with the options on the original sheet.