Question 272188: A farmer has two grain silos, both shaped like right circular cylinder, with dimensions shown in the diagrams below.
SILO A ^30 ft (height) SILO B ^30 ft(height)
<12 ft> (width of base) <30 ft>(width of base)
The farmer has the same amount of grain stored in each silo. Silo A is filled to the top. What is the height, in feet, of the level of the grain in Silo B? explain how you arrived at your answer.
Answer by oberobic(2304)   (Show Source):
You can put this solution on YOUR website! Silo A
volume = pi*r^2*30
diameter = 12, so
r = 1/2d = 6
volume = pi*36*30 = 3392.92
it is full to the top, so that is volume of grain.
.
Silo B
has the same amount of grain in it, so it has 3392.92 cubic ft
base diameter = 30
substituting the known volume
3392.92 = pi*15^2*h, where 'h' is the height of the seed in Silo B
h = 3392.92/(pi*15^2)
h = 4.8 ft
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