I think it’s D but I am not sure
(I'm going to translate y' to dy/dx as it makes it easier to read for me, you could change it back if you wanted.)



(separate the variables)


(by letting c = ln k and using log laws)

(raise everything to power e)

(applying boundary conditions)
Particular solution:
The shaded area is the area of the rectangle minus the area of the hemisphere.
A=(6*3)-(π3^2)/2
A=18-9π/2
A=18-4.5π, and if we approximate π≈3.14
A=18-4.5(3.14)
A=18-14.13
A=3.87 cm^2