Question 174410
The radius of a sphere is given by r=(.75V/pie)^1/3. Where V is the volume.
 Find the radius of a spherical tank that has a volume of 32 times (pie)/3
:
Start by substituting {{{32pi/3}}} for V in the given equation
:
r = {{{(.75V/pi)^(1/3)}}}
:
r = {{{(.75(32pi/3)/pi)^(1/3)}}}
:
Multiply .75*32 = 24, and we have
r = {{{((24pi/3)/pi)^(1/3)}}}
:
Cancel 3 into 24 and you have:
r = {{{((8pi)/pi)^(1/3)}}}
:
cancel pi:
r = {{{8^(1/3)}}}
r = 2