SOLUTION: jimmy works on a farm. one of his jobs is to fill up the liquid fertilizer tanks when the farmer is spreading the fertilizer. each tank is a cylinder with a diameter of 6 ft. and

Algebra ->  Bodies-in-space -> SOLUTION: jimmy works on a farm. one of his jobs is to fill up the liquid fertilizer tanks when the farmer is spreading the fertilizer. each tank is a cylinder with a diameter of 6 ft. and       Log On


   



Question 93229: jimmy works on a farm. one of his jobs is to fill up the liquid fertilizer tanks when the farmer is spreading the fertilizer. each tank is a cylinder with a diameter of 6 ft. and a height of 4ft. if there seven tanks and 1 cubic foot=7.5 gallons of liquid. how many gallons of fertilizer will all the tanks hold?
Found 2 solutions by Earlsdon, checkley75:
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
First, find the volume of one cylindrical tank:
V+=+%28pi%29r%5E2h where: r = radius of the circular base and h = the height of the tank.
Radius = half the diameter.
r = D/2 = 6/2 = 3 ft.
h = 4 ft.
Use%28pi%29+=+3.14 as an approximation.
The volume of one tank is:
V+=+%283.14%29%283%29%5E2%284%29
V+=+113.04cu.ft. Multiply this by 7 to find the volume of 7 tanks.
V%5B7%5D+=+%287%29%28113.04%29
V%5B7%5D+=+791.28cu.ft.
If 1 cu.ft = 7.5 gallons of liquid fertilizer, then:
791.28 cu.ft. = (7.5gal/cu.ft)(791.28cu.ft.) gallons.
This equals 5934.6 gallons.
So, the 7 tanks will hold 5934.6 gallons of liquid fertilizer.

Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
V=B*H WHERE B= BASE AREA & H=HEIGHT
V=3.14*3^2*4
V=113.04 CUBIC FT. PER TANK.
7*113.04=791.28 TOTAL CUBIC FEET.
791.28*7.5=5,934.6 GALLONS OF FERTILIZER.