Question

@Apologiabiology : A spherical water tank holds 11,000 ft^3 of water. What is the diameter of the tank? Hint: V = pi/6 d^3

The diameter is ___ ft

Answer 1

v=(4/3)pir^3
2r=d

so
v=11000
11000=(4/3)pir^3
times both sides by 3/4
33000/4=pir^3
8250=pir^3
divide both sides by pi
8250/pi=r^3
cube root both sides
13.7965=r
double since 2r=d
27.5929=d

the diameter is 27.5929 or about 28ft