SOLUTION: A solid cylinder of gold, height 14cm and base radius 8cm, is melted down and cast as a solid cube. Calculate, to the nearest millimetre, the length of an edge of that cube

Algebra ->  Trigonometry-basics -> SOLUTION: A solid cylinder of gold, height 14cm and base radius 8cm, is melted down and cast as a solid cube. Calculate, to the nearest millimetre, the length of an edge of that cube      Log On


   

Question 832280: A solid cylinder of gold, height 14cm and base radius 8cm, is melted down and cast as a solid cube. Calculate, to the nearest millimetre, the length of an edge of that cube
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
As cylinder, h for height, r for radius, volume is v=h%2Api%2Ar%5E2; and as a cube, side length unknown x, v=x%5E3.

Known: h, r, pi
Unknown: x
Calculable: v

You are h=14, r=8, and pi is a contant, known.

x%5E3=h%2Api%2Ar%5E2
highlight%28x=root%283%2Ch%2Api%2Ar%5E2%29%29;
Plug in the values and compute x.