SOLUTION: I would really appreciate if you would answer this question. A cylindrical piece of iron has a diameter of 2 inches and a length of 16 inches. If it is melted down and poured into

Algebra ->  Volume -> SOLUTION: I would really appreciate if you would answer this question. A cylindrical piece of iron has a diameter of 2 inches and a length of 16 inches. If it is melted down and poured into       Log On


   

Question 964824: I would really appreciate if you would answer this question. A cylindrical piece of iron has a diameter of 2 inches and a length of 16 inches. If it is melted down and poured into a rectangular mold that has a 1-by-3 inch base, what will be the length of the rectangular piece of iron?

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Cylinder, v=pi%2AL%2A%28d%2F2%29%5E2
L for length, d for diameter.

Box, v=w%2Ah%2As
w for width
s for a dimension other than width, maybe called breadth
h the length for the last dimension, this being assumed unknown.

v, volume of both the cylinder and the box
L=16
d=2
w=1
s=3
h, unknown

The volume v, is computable because the cylinder values are all given.
v=hsw
h=v%2F%28sw%29
highlight%28h=%28pi%2AL%2A%28d%2F2%29%5E2%29%2F%28sw%29%29