spyder_xlch wrote:I always used bore x bore x stroke x .7854 x number of cylinders.
Matt,
Same thing, simpler formula. Yours suffers from a rounding error.
How is that simpler formula derived?
Volume of a cylinder is the area of the circle times its length
Area of a circle is "Pie are squared"
Volume of a cylinder = PI x (Radius)^2 x Length
(Radius)^2 = Radius squared = Radius x Radius
Volume = PI x (Radius x Radius) x Length
Radius = Diameter/2
Volume = PI x (Diameter/2 x Diameter/2) x Length
Volume = PI x ((Diameter x Diameter) / 4 ) x Length
Volume = (PI/4) x (Diameter x Diameter) x Length
PI/4 = 0.78539816339744830961566084581988
Volume = 0.78539816339744830961566084581988 x (Diameter x Diameter) x Length
So ...
Engine Displacement = 0.7854 x Bore x Bore x Stroke x No. of cylinders
V-8 Engine Displacement = 6.2832 x Bore x Bore x Stroke