Question: Help to calculate volumes of oblique paraboloids

Hello! I have been learning Maple recently. My teacher gave me the task to simulate the kinematics of heart ventricles with subsequent calculation of their volume. During decision my task some difficulties appeared.I have simulated ventricles. But I don't know how to calculate volumes of oblique paraboloids? Help me,please.

with(plots); R := 9; A := -R .. R; Z := x^2+y^2; animate3d({[-8*x+1*Z, -8*y, -p*Z], [-abs(-7*x-10)-10, -8*y, -p*Z]}, x = A, y = A, p = A, frames = 16, thickness = 2, title = Kinematics, lightmodel = light3, titlefont = [TIMES, BOLD, 14], view = [-50 .. 50, -50 .. 50, 0 .. 100], shading = ZHUE, axes = FRAMED, labels = [X, Y, z]);

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