Question
A spherical water tank holds 15.000ft^3 of water. Find the diameter of the tank ( hint: V=pi/6*D^3
Answers
Reiny
I prefer these kind of formula in terms of the radius.
V = (4/3)π r^3 = 15000
r^3 = 3(15000)/(4π) = 3580.986..
take cube root of both sides
r = 12.299
so the diameter = appr 30.6 ft
or
using your formula:
πD^3/6 = 15000
d^3 = 6(15000)/π = 28647.88976
take cube root of both sides
D = 30.6 , same thing
V = (4/3)π r^3 = 15000
r^3 = 3(15000)/(4π) = 3580.986..
take cube root of both sides
r = 12.299
so the diameter = appr 30.6 ft
or
using your formula:
πD^3/6 = 15000
d^3 = 6(15000)/π = 28647.88976
take cube root of both sides
D = 30.6 , same thing