Problema Solution
A Farmer has two grain silos, both shaped like right circular cylinders with dimensions shown in the diagrams silo a h = 30ft. r = 12ft silo b r = 30 ft. h = 30 ft. a. How much greater is the volume of silo b than the volume of silo a? B. the farmer has the same amount of grain stored in each two silos. Silo A is filed to the top. What is the height in ft. of the level of the grain in silo b?
Answer provided by our tutors
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