SOLUTION: The volume of the water is a spherical tank is 1,470.265 cm3 .Determine the depth of water if the tank has a diameter of 30 cm. a. 8 b. 6 c. 4 d. 10

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Question 1165475: The volume of the water is a spherical tank is 1,470.265 cm3
.Determine the depth of water if the tank has a diameter of 30 cm.
a. 8 b. 6 c. 4 d. 10
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The volume of the water is a spherical tank is 1,470.265 cm3
.Determine the depth of water if the tank has a diameter of 30 cm.
:
The formula for this is
V = pi%2F3h%5E2%281.5d-h%29
d = 30, h = the depth of the water
pi%2F3h%5E2%281.5%2830%29-h%29 = 1470.265
multiply both sides by 3
pih%5E2%281.5%2830%29-h%29 = 4410.795
divide both sides by pi
h%5E2%2845-h%29 = 1404
45h%5E2+-+h%5E3 = 1404
A real pain to solve this, try the given solutions
Tried h = 4, not right
Tried h = 6
45(36) + 6^3 = 1404
1620 - 216 = 1404
Solution is b, 6 cm is the depth of the water


a. 8 b. 6 c. 4 d. 10