SOLUTION: Calculate the quantity of sheet metal that would be needed to make 10 cylindrical canisters with a diameter of 10 cm and a height of 20 cm? A cube with an edge of 20cm is filled

Algebra ->  Surface-area -> SOLUTION: Calculate the quantity of sheet metal that would be needed to make 10 cylindrical canisters with a diameter of 10 cm and a height of 20 cm? A cube with an edge of 20cm is filled      Log On


   

Question 842209: Calculate the quantity of sheet metal that would be needed to make 10 cylindrical canisters with a diameter of 10 cm and a height of 20 cm?
A cube with an edge of 20cm is filled with water.Would this amount of water fit in a sphere with a 20cm radius?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
The sheet metal canister question:

Each canister is 20%2A2%2Api%2A%2810%2F5%29%5E2 and for ten of them, this area is 10%2A20%2A2%2Api%2A%2810%2F5%29%5E2 square centimeters.
Simplifying, this is
400%2Api%2A25
highlight%2810000%2Api%29 square centimeters.


The cube and sphere question:
The diagonal of the cube will become the diameter of the sphere. The length of this diagonal is . The radius of the sphere is half of this, so the radius is highlight_green%2810%2Asqrt%283%29%29.
Formula for Volume of Sphere is highlight_green%28%284%2F3%29pi%2Ar%5E3%29. You should do the rest on this.