SOLUTION: Question: A conical tank is 40 feet deep and the diameter of the top is 12 feet. If the tank is filled with water to a depth of 4 feet, what is the area of the surface of the wate

Algebra.Com
Question 100984: Question: A conical tank is 40 feet deep and the diameter of the top is 12 feet. If the tank is filled with water to a depth of 4 feet, what is the area of the surface of the water?
I am not sure how to solve this one since the water depth is at 4 feet.

Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!
assuming it is an inverted cone (point down), the diameter of the water surface is proportional to the depth

at 40 feet, the diameter is 12 feet ... at 4 feet, the diameter is 1.2 feet

radius is .6 so area is .36pi ft^2

RELATED QUESTIONS

A conical tank is 12 feet deep and the diameter of the top is 8 feet. If the tank is... (answered by RAY100)
A conical tank (with vertex down) is 10 feet across the top and 12 feet deep. Water is... (answered by MathLover1)
A conical tank (with vertex down) is 10 feet across the top and 12 feet deep. Water is... (answered by ikleyn)
a closed cylindrical tank is 8 feet long and 3 feet in diameter. when lying in a... (answered by mananth)
A conical tank with altitude 17.3 m is filled with water at a rate of 10.5 L/min. If it... (answered by mananth,greenestamps)
a conical tank with vertex at the bottom is being filled at a rate of 4 cubic m per... (answered by greenestamps)
A closed cylindrical tank is 8 feet long and 3feet in diameter. When lying in a... (answered by math_helper)
A rectangular tank is 20 feet wide, 40 feet long and 6 feet deep. Determine the number... (answered by edjones)
The Uptown Tank Shop has a tank that is filled with water and is used to check tires for... (answered by Alan3354)