In the diagram, the base diameter is 14cm while the height is 12cm. Calculate the total surface area if the cylinder has both a base and a top.[\(\pi \frac{22}{7}\)]
Attached Figure / Diagram
A
836cm2
B
308cm2
C
528cm2
D
154cm2
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
Area(S) = 2\(\pi r^2 + 2 \pi rh = 2\pi r(h + r)\)
D = 14cm, 2r = D
r = \(\frac{D}{2}\)
= 7cm
S = 2 x \(\frac{22}{7} \times [7 + 12] = 44 \times 19\)
= 836cm2
Source: Myschool Past Questions Archive (Record #33066)