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

Answer:  Option 'C' is correct.

Step-by-step explanation:

Since we have given that

Let the radius of right cylinder be 'r'.

Let the height of right cylinder be 'h'.

As we know that "Surface area of a right cylinder ":

$Area=2\pi r(r+h)\\\\Area=2\pi r^2+2\pi rh$

As we know that "Base area of cylinder ":

$Base\ area=\pi r^2+\pi r^2=2\pi r^2$

and Similarly, "Lateral surface area" is given by

$\text{Lateral surface area}=2\pi rh$

So, our surface area of cylinder becomes

$Area=2\pi r^2+2\pi rh\\\\Area=BA+LA$

Hence, Option 'C' is correct.