SOLUTION: a cylindrical fence post has diameter 6 in and length 8 ft. The fence post is placed 2ft into the ground. Determine the exposed area of the post to be painted. Express your answer
Algebra ->
Customizable Word Problem Solvers
-> Geometry
-> SOLUTION: a cylindrical fence post has diameter 6 in and length 8 ft. The fence post is placed 2ft into the ground. Determine the exposed area of the post to be painted. Express your answer
Log On
Question 878703: a cylindrical fence post has diameter 6 in and length 8 ft. The fence post is placed 2ft into the ground. Determine the exposed area of the post to be painted. Express your answer to the nearest tenth of a square foot Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! a cylindrical fence post has diameter 6 in and length 8 ft. The fence post is placed 2ft into the ground. Determine the exposed area of the post to be painted. Express your answer to the nearest tenth of a square foot.
***
6 inches=(1/2) ft
Area of end of post=πd^2/4=π(1/2)^2/4=(π/4)/4=π/16
surface area of post above ground=6*circumference=6π(1/2)=3π
exposed area of the post to be painted=π/16+3π=9.6 sq ft