whats the diameter of spherical water tank that holds 9000ft^3

Question

a spherical water tank holds 9000ft^3 of water. what is the diameter of the tank? hint from teacher: 1/6d^3pi=v

Answer 1

Volume of a sphere is

 

V = (4/3)π(d/2)³

 

 

where:

V = volume

d = diameter

 

 

Solve for d from this equation.

 

V = (4/3)(d³/8)π

 

V = (d³π) / 6

 

 

Multiply both sides of the equation by 6.

 

6V = d³π

 

 

Divide both sides of the equation by π.

 

6V / π = d³

 

 

Cube-root both sides of the equation.

 

³√((6V) / π) = d    ---->  equation for diameter

 

 

Plug in V=9000 into this equation to get the diameter.