SOLUTION: A tunnel is 30 yards long and 15 yards wide. The height of the tunnel walls is 5 yards before the curve of the cylinder-shaped ceiling. What is the volume of the tunnel? Use 3.14 f

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A tunnel is 30 yards long and 15 yards wide. The height of the tunnel walls is 5 yards before the curve of the cylinder-shaped ceiling. What is the volume of the tunnel? Use 3.14 f      Log On

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Question 1035599: A tunnel is 30 yards long and 15 yards wide. The height of the tunnel walls is 5 yards before the curve of the cylinder-shaped ceiling. What is the volume of the tunnel? Use 3.14 for pi. Round your answer to the nearest hundredth
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A tunnel is 30 yards long and 15 yards wide.
The height of the tunnel walls is 5 yards before the curve of the cylinder-shaped ceiling.
What is the volume of the tunnel? Use 3.14 for pi. Round your answer to the nearest hundredth
:
Find the volume of the rectangular portion of the tunnel
30 * 15 * 5 = 2250 cu/yds
:
Find the volume of half a cylinder which is the upper portion of the tunnel
The radius of the cylinder is half the width of the tunnel; 15/2
V = 1%2F2*3.14%2A7.5%5E2%2A30
V = 2649.38 cu/yds
:
Find the total volume
2250 + 2649.38 = 4899.38 cu/yds