Question

Ellis is painting wooden fenceposts before putting them in his yard. They are each 6 feet tall and have a diameter of 1 foot. There are 12 fenceposts in all. How much paint will Ellis need to paint all the surfaces of the 12 fenceposts? Use 3. 14 π, and round your answer to the nearest hundredth.

Answer 1

Given:

Diameter of the fencepost is 1 foot.

So, Radius, r=0.5 foot

Height, h=6 feet

There are 12 fenceposts.

To find the total surface area required to paint all the surfaces of the 12 fenceposts:

Total surface are of the fencepost is,

$\begin{gathered} A=2\pi r(h+r) \\ =2\times3.14\times0.5\times(6+0.5) \\ =20.41ft^2 \end{gathered}$

So, for the 12 fenceposts,

$20.41\times12=244.92ft^2$

Hence, the ellis needs to paint in all is 244.92 square ft.