A spherical water tank holds #6000# #ft^3# of water. What is the diameter of the tank?

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Answer 1 · 2018-01-28T03:56:38

Diameter of the tank #color(blue)(d = 22.545)# ft

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Volume of sphere #V = (4/3) pi r^3#

# (r = d/2), :. V = (4/3) pi (d/2)^3#

Given #V = 6000 ft^2#

#6000 = (4/3) pi (d/2)^3#

#(d/2)^3 = 6000 * (3/(4pi))#

#(d/2 )^3 = 4500 / pi ~~ 1432.3945#

#d/2 = (1432.3945)^(1/3) ~~ 11.2725 ft#

#color(blue)(d = 2 * 11.2725 = 22.545) # ft