Question 355197
{{{r=(0.75V/pi)^(1/3)}}} and {{{V = 32*pi/3}}}
All we have to do is use the second equation, which tells us what V is, and substitute for V in the first equation:
{{{r=(0.75(32*pi/3)/pi)^(1/3)}}}
The {{{pi}}}'s cancel and 3 divides into 0.75 0.25 times. This gives us:
{{{r=(0.25*32)^(1/3)}}}
Since 0.25*32 is 8:
{{{r=(8)^(1/3)}}}
Since 1/3 as an exponent means cube root and since {{{2^3 = 8}}}:
r = 2