Question: Restriction sphere and implicitplot3d

x0 := x - Pi/4;
y0 := y - Pi/4;
z0 := z - Pi/4;
f := (x, y, z) -> 10*sin(x0)*sin(y0)*sin(z0) + 10*sin(x0)*cos(y0)*cos(z0) + 10*cos(x0)*sin(y0)*cos(z0) + 10*cos(x0)*cos(y0)*sin(z0) - 7/10*cos(4*x) - 7/10*cos(4*y) - 7/10*cos(4*z);
implicitplot3d(evalc(f(x, y, z) = 9), x = -4.5 .. 4.5, y = -4.5 .. 4.5, z = -4.5 .. 4.5, grid = [60, 60, 60], style = patchnogrid);

Hi, do you know how can I restrict this plot using another implicitplot3d let's say sphere given by x^2+y^2+z^2<=4.5?

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