SOLUTION: A water tank has the shape of a cone with the vertex down. The tank is 10 m high and has a base radius of 3 m. When the water in the tank is 5 m deep, what is the area of the surfa

Question 894015: A water tank has the shape of a cone with the vertex down. The tank is 10 m high and has a base radius of 3 m. When the water in the tank is 5 m deep, what is the area of the surface of the water at that instant? (Hint: make a sketch and set up similar triangles.)
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Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A water tank has the shape of a cone with the vertex down.
The tank is 10 m high and has a base radius of 3 m.
When the water in the tank is 5 m deep, what is the area of the surface of the water at that instant? (Hint: make a sketch and set up similar triangles.)
:
Note a right triangle formed by the radius as one side the height the other side.
If the height is cut in half, the radius side is half also 1.5 m

A = 7.07 sq/m
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