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In geometry, a torus (pl.: tori or toruses) is a surface of revolution generated by revolving a circle in three-dimensional space one full revolution about an axis that is coplanar with the circle. The main types of toruses include ring toruses, horn toruses, and spindle toruses.
5 dni temu · In one dimension, a line bends into circle, giving the 1-torus. In two dimensions, a rectangle wraps to a usual torus, also called the 2-torus. In three dimensions, the cube wraps to form a 3-manifold, or 3-torus. In each case, the -torus is an object that exists in dimension .
7 cze 2024 · Follow three simple steps to find the volume of a torus. Step 1: Enter the inner radius of torus, a. Step 2: Enter the outer radius of torus, b. The calculator will now use the volume of torus formula to return the result.
The formula is often written in this shorter way: Volume = 2 π2 Rr 2. Note: Area and volume formulas only work when the torus has a hole!
10 wrz 2018 · This animated torus calculator finds the volume and surface area given the torus radii, and also allows you to find the required torus radii for a given volume or area!
3 sie 2023 · The formula is: Volume of a Torus. Volume (V) = 2πR × πr 2 = V = 2π 2 Rr 2. If a torus is cut and unfolded, it will take the shape of a cylinder, as shown in the diagram below. Torus Shaped Unfolded to Cylinder. The volume of a cylinder is πr 2 × length; here the length equals 2πR, where R = major radius of the torus.
To calculate the torus, enter the radii or diameters. Then click on the 'Calculate' button. Formulas for the torus. Volume (V V) V = 2 ⋅π2 ⋅R ⋅r2 V = 2 ⋅ π 2 ⋅ R ⋅ r 2. Surface (S S) S = 4⋅ π2 ⋅R⋅r S = 4 ⋅ π 2 ⋅ R ⋅ r. Short diameter (d d) d = 2 ⋅(R− r) d = 2 ⋅ (R − r) Long diameter (D D) d = 2 ⋅(R− r) d = 2 ⋅ (R − r) Small radius (r r)
