Problem Solving

What is the surface area of the solid right circular cylinder with height 10 above?

A. 18Ï€
B. 32Ï€
C. 60Ï€
D. 78Ï€
E. 90Ï€

The OA is D

Please, can any expert assist me with this PS question? I don't have it clear and I appreciate if any explain it for me. Thanks.

A=2Ï€rh+2Ï€r2

What is the surface area of the solid right circular cylinder with height 10 above?

A. 18Ï€
B. 32Ï€
C. 60Ï€
D. 78Ï€
E. 90Ï€

The OA is D

Please, can any expert assist me with this PS question? I don't have it clear and I appreciate if any explain it for me. Thanks.

Hi AAPL,
Let's take a look at your question.
$$Radius=r=3$$
$$Height=h=10$$

We know that the surface area of right circular cylinder can be calculated using the formula:
$$=2\pi r\left(r+h\right)$$
$$=2\pi\left(3\right)\left(3+10\right)$$
$$=6\pi\left(13\right)$$
$$=78\pi$$

Therefore, Option D is correct.

Hope it helps.
I am available of you'd like any follow up.