Any tapered cylinder can be treated as a [longer cone] minus a [smaller cone]. Lets say the cylinder we need the volume for has the following dimensions:
height=h2
base radius=a
top radius=b
volume of this cylinder = volume of cone with base radius of 'a' and height 'h1+h2' minus the volume of a smaller cone with base radius 'b' and height 'h1'
where, the heights and the radii are obviously related by h1/b = (h1+h2)/a
so the volume we need = pi*a^2*(h1+h2)/3 - pi*b^2*h1/3
and this simplifies to pi*h2*(a^2+a*b+b^2)/3
easy to verify: if a=b then it should be the familiar pi*a^2*h which is what the above formula gives.
KK
or you can just average the two radius' and use the averaged radius in the familiar pi*a^2*h...a bit easier
By definition, a cylinder has two equal circular (or elliptical) faces and a uniform cross section. Therefore, a cylinder cannot be tapered.
it is triangular in shape and it taper to south direction
Ovality and Taper Guages are used
Taper
To measure bore taper
Wear from high mileage.
To calculate the taper area of a structure, you need to determine the area of the cross-section at both the wide and narrow ends of the taper. The formula for the taper area (A_taper) can be expressed as: [ A_{\text{taper}} = \frac{(A_{\text{wide}} + A_{\text{narrow}})}{2} \times L ] where ( A_{\text{wide}} ) and ( A_{\text{narrow}} ) are the areas of the wide and narrow ends, respectively, and ( L ) is the length of the taper. This formula gives the average cross-sectional area multiplied by the length, effectively calculating the volume of the tapered section.
The formula to calculate taper in millimeters would be: (small diameter - large diameter) / taper length. The result will give you the taper in millimeters per unit length.
To calculate shaft taper, measure the diameter at two points along the length of the shaft. Subtract the smaller diameter from the larger diameter to find the taper amount. Then, divide this difference by the length of the taper section to determine the taper per unit length. This result is often expressed as a ratio or in degrees, depending on the application.
The maximum amount of cylinder taper allowed in engine cylinders is typically around 0.001 inches per inch of bore diameter. Excessive taper can lead to poor piston ring sealing and increased oil consumption.
A taper is a slender candle.In mechanical engineering a taper pin is a metal pin with a gentle tapering shape used to lock two or more parts in place.
No, it is not. For a cone, think of a standard ice-cream cone shape (or a witches hat) - a circular top OR base (but not both), which has sides coming off that taper into a point. Whereas a cylinder has a circular top AND base, (like the shape of baked bean cans), with sides joining both top and base.