Code:solve({24000 = ((1/12*(350-t))*(350-t)^3-(1/64)*Pi*(t*(25*(1/10)))^4)/(175-t)}, {t})
This is my answer.
{t = 40*RootOf(1495585+(256-1875*Pi)*_Z^4-8960*_Z^3+117600*_Z^2-684848*_Z, index = 1)}, {t = 40*RootOf(1495585+(256-1875*Pi)*_Z^4-8960*_Z^3+117600*_Z^2-684848*_Z, index = 2)}, {t = 40*RootOf(1495585+(256-1875*Pi)*_Z^4-8960*_Z^3+117600*_Z^2-684848*_Z, index = 3)}, {t = 40*RootOf(1495585+(256-1875*Pi)*_Z^4-8960*_Z^3+117600*_Z^2-684848*_Z, index = 4)}
This could not be right?
The explicit solutions to high-degree polynomials can be very large, so Maple may return a solution using RootOf expressions as placeholders. Maple may also use RootOf expressions as placeholders when it cannot find an explicit form for the solution of a non-algebraic equation in one variable.