SOLUTION: A cylindrical water tank with radius 2 feet and length 6 feet is filled with water to a depth of 3 feet when in a horizontal position. If the tank is turned upright, what is the de
Algebra ->
Customizable Word Problem Solvers
-> Geometry
-> SOLUTION: A cylindrical water tank with radius 2 feet and length 6 feet is filled with water to a depth of 3 feet when in a horizontal position. If the tank is turned upright, what is the de
Log On
Question 144280: A cylindrical water tank with radius 2 feet and length 6 feet is filled with water to a depth of 3 feet when in a horizontal position. If the tank is turned upright, what is the depth of the water? Give answer in terms of pi.
Find the volume of water. The volume is the area x length.
The area of the segment is:
The values listed (using an Excel sheet I made) give a cross-sectional area of:
10.10963 sq ft
6 times that is: 60.657787 cubic ft
The volume of a "vertical" cylinder is , in this case PIx4xh, so
h = Vol/4PI, which is 4.82699 feet. In terms of PI, it's 15.16445/PI
