SOLUTION: A cylindrical container has a diameter of 30cm and contains water to a depth of 24cm. In the water lies a cube of steel measuring 10cm along each edge. What will be the height of t

Algebra ->  Volume -> SOLUTION: A cylindrical container has a diameter of 30cm and contains water to a depth of 24cm. In the water lies a cube of steel measuring 10cm along each edge. What will be the height of t      Log On


   

Question 759628: A cylindrical container has a diameter of 30cm and contains water to a depth of 24cm. In the water lies a cube of steel measuring 10cm along each edge. What will be the height of the water if the cube is removed??
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
Volume of water plus cube = 24%2Api%2A%2815%29%5E2 cm%5E3
The radius is 15 because the diameter is 30.

The volume of the cube by itself is 10%5E3 or 1000 cm%5E3.

The volume of just the water will be their difference:
24%2Api%2A%2815%29%5E2-1000 cm%5E3

Use the formula again for volume of a cylinder. The height or depth, h will be an unknown for which you will solve for:
highlight%28h%2Api%2A15%5E2=24%2Api%2A%2815%29%5E2-1000%29
Solve for h.