Water is poured into a right circular cone with a height of 10 cm and diameter of 8 cm until it is three-fourths full. All this water is then poured into an empty cylindrical container with a radius of 5 cm and height of 9 cm. What is the height of the water in the cylinder?

Answer 1

Ignoring the factor of pi/3, we have

3/4 * 4^2 * 10 = (5/9 h)^2 * h

Now just solve for h