![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.[\(\pi \frac{22}{7}\)]](/img/aptitude-tests/questions/21715.jpg "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.[\(\pi \frac{22}{7}\)]")
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.[\(\pi \frac{22}{7}\)]
A.
836cm2
B.
308cm2
C.
528cm2
D.
154cm2
Correct answer is A
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