Question

A company is considering two different packages for a new product. The diagram shows the dimensions for the rectangular prism and the cylinder in inches.



image



The height of both packages is the same. The area of the base for the rectangular prism is
2
x
2
.



Which expression represents the surface area of the cylindrical container?



A.
π
(
3
2
)
+
π
(
3
)
(
20
)

B.
π
(
6
2
)
+
π
(
6
)
(
20
)

C.
2
π
(
3
2
)
+
2
π
(
3
)
(
20
)

D.
2
π
(
6
2
)
+
2
π
(
6
)
(
20
)

Answer 1

C

Surface area of a cylinder = 2πr^2 + 2πrh. From the diagram r = 3 and h = 20, so the surface area is 2π(3^2) + 2π(3)(20), which is choice C.