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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 .
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!
Follow three simple steps to find out the surface area of a torus. Step 1: Enter the inner radius of torus, a. Step 2: Enter the outer radius of torus, b. Step 3: The calculator will now use the above formula to return the surface area of a torus.
3 sie 2023 · We calculate the surface area by multiplying the circumference of the bigger circle (with radius R) by, the smaller circle (with radius r): ⇒ Surface Area (SA) = 2πR × 2πr. The final formula is : Surface Area of a Torus. Find the surface area of a torus with an outer radius of 9 cm and a tube radius of 3 cm. Solution:
7 cze 2024 · Find the volume of torus having the radius of cross-section as 40 mm, and the distance from the center of torus to the center of cross-section as 100 mm. Given: radius of cross-section, r = 40 mm ; radius of torus, R = 100 mm ;