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
Algebra ->
Customizable Word Problem Solvers
-> Travel
-> 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
Log On
Question 893993: 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.)
I need help as soon as possible on this problem!! I really appreciate all of the online tutors who are willing to help people like me who just can't understand word problems very clearly!! Thanks again!!! Found 2 solutions by josgarithmetic, MathTherapy:Answer by josgarithmetic(39617) (Show Source):
You can put this solution on YOUR website! This really works better with a picture.
Top diameter for the tank is 3 m, and distance top to bottom of the tank is 10 m.
The ratio of diameter to height, . This is using d for DIAMETER and h for HEIGHT or DEPTH. You can recognize similar triangles if this helps.
If you want the surface area of the top of the liquid when the filled depth is 5 m, then:
Know that half of diameter is radius; so the radius at that depth is
Now to get the value for this surface area of the liquid at the top of this depth, .
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.)
Diameter of circular top of water at the 5m mark of cone = 3 m, or radius of: , or 1.5m
Area of surface of water at the 5m mark: , or , or , or
(