Question

Work out the surface area and give your answer in terms of pi. Not sure of the steps, assistance appreciated. ​

Answer 1

Answer:

138π m²

Step-by-step explanation:

The following data were obtained from the question:

Diameter (d) = 6 m

Height (h) = 20 m

Surface Area (SA) =?

Next, we shall determine the radius. This can be obtained as follow:

Diameter (d) = 6 m

Radius (r) =?

r = d/2

r = 6/2

r = 3 m

Finally, we shall determine the surface area of the cylinder. This can be obtained as follow:

Radius (r) = 3 m

Height (h) = 20 m

Surface Area (SA) =?

SA = 2πrh + 2πr²

SA = 2πr (h + r)

SA = 2 × π × 3 (20 + 3)

SA = 2 × π × 3 × 23

SA = 138π m²

Thus, the surface area is 138π m².