Question

I don't understand how the problem wants me to set up the equation, much less how to find the right answer.

Answer 1

Two things to remember first remember that in the given eq:
V=4/3piR^3 where r = radius
So we know we just need to plug the given equation for radius.
Where radius = 2x^3y^-4
V= 4/3pi(2x^3 * y^-4)^3
Remember the exponent rule: (a*b)^n = a^n*b^n
Also remember the negative exponent rule
X^-n = 1/x^n
Now with this:
V= 4/3 * pi(8x^9/y^12)
V= 32pi*x^9/3y^12
Or A