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.Com
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
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
RELATED QUESTIONS
a closed cylindrical tank is 8 feet long and 3 feet in diameter. when lying in a... (answered by mananth)
A closed cylindrical tank is 8 feet long and 3feet in
diameter. When lying in a... (answered by math_helper)
A conical tank is 12 feet deep and the diameter of the top is 8 feet. If the tank is... (answered by RAY100)
An inverted conical water tank with a height of 12 feet and a radius of 6 feet contains... (answered by Alan3354)
How much water, in cubic feet, will a cylindrical tank with a radius of 12 feet and a... (answered by Alan3354)
An elliptical culvert is 3.2 feet tall and 6.3 feet wide. It is filled with water to a... (answered by ikleyn)
Question: A conical tank is 40 feet deep and the diameter of the top is 12 feet. If the... (answered by scott8148)
A rectangular fish tank has a base 2 feet wide and 3 feet long. When the tank is... (answered by mananth)
Archimedes discovered that if an object, that is more dense than water, is submerged in... (answered by ankor@dixie-net.com)