SOLUTION: A spherical tank has a radius of 5 feet. How much water can you put into the tank.

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Question 289113: A spherical tank has a radius of 5 feet. How much water can you put into the tank.
Found 2 solutions by CharlesG2, jim_thompson5910:
Answer by CharlesG2(834) About Me  (Show Source):
You can put this solution on YOUR website!
A spherical tank has a radius of 5 feet. How much water can you put into the tank.
V volume = 4/3 * pi * r^3 , where r is radius
V = 4/3 * pi * 5^3
V = 4/3 * 125 * pi
V = 500/3 * pi
V = 166 2/3 * pi ft^3 if tank completely filled
V = approx. 523.5988 ft^3

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Recall that the volume of any sphere is V=%284%2F3%29pi%2Ar%5E3 where 'r' is the radius.


V=%284%2F3%29pi%2Ar%5E3 Start with the given equation.


V=%284%2F3%293.14%2A%285%29%5E3 Plug in r=5 and let's use 3.14 for pi (you can use more digits if you want). Note: this value is approximate



V=%284%2F3%293.14%2A%28125%29 Cube 5 to get 125.


V=4.18667%2A%28125%29 Multiply 4%2F3 and 3.14 to get 4.18667 (note: this value is approximate)


V=523.33375 Multiply 4.18667 and 125 to get 523.33375


So the volume is approximately 523.33375 cubic feet. So you can put about 523.33375 cubic feet of water in the tank.