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
:
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 = {{{1/2}}}*{{{3.14*7.5^2*30}}}
V = 2649.38 cu/yds
:
Find the total volume
2250 + 2649.38 = 4899.38 cu/yds