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Explanation:
Recall that from a previous screenshot you posted, that
If we multiply both sides by 3 and swap both sides, then we end up with
So that's why we need 3 cups of water, if each cup is the cone in the diagram. Keep in mind that the height of the cylinder and the cone must be same. The two radius values must be the same as well. You don't need to have r = h be true.
This seems like a right triangle problem.
So assuming 14 feet is the hypotenuse and 4 feet is a leg of the right triangle, we can use the pythagorean theorem () to solve for the height of the house, in which we shall name it x.
So, the equation is .
Solve for x:
16+x^{2}= 196
x^{2}= 196-16
x^{2}= 180
x = 6√5 feet
Hope this helps!