A cylindrical barrel has a radius of 32cm andheight of 140cm. It is filled up to the very top with water. A perfect sphere of steel with a radius of 18cm is dropped Into the water howmuch water is in

Question

So a cylindrical barrel has a radius of 32cm and a height of 140cm it is filled to the very top with water. A perfect sphere of steel with a radius of 18cm is dropped into the water, causing a lot of water to splash out. The sphere is the. Pulled out of the water. How deep is the water in the barrel?

That at was the full question I need help on.

Thank you for helping me I really do appreciate it

Answer 1

You need to find the volume of the cylinder and the volume of the steel sphere. The difference between the two numbers is the amount of water you have.

The volume of a cylinder is found by: Volume = pi x r^2 x height, so:

3.14 x 32^2 x 140 = 450,150.4 cm3

The volume of a sphere is found by: 4/3 x pi x r^3, so:

4/3 x 3.14 x 18^3 = 24,416.64 cm3

450,150.4 cm3 - 24,416.64 cm3 = 425,733.76cm3