How do you find the volume of a solid torus?
Table of Contents
- 1 How do you find the volume of a solid torus?
- 2 What is the calculation for the volume of a cylinder?
- 3 How do you calculate the volume of a ring?
- 4 How do you find the volume of a cylinder without the height?
- 5 How do you find the volume of a cylinder without a radius?
- 6 What is the the formula for volume?
How do you find the volume of a solid torus?
If the radius of its circular cross section is r , and the radius of the circle traced by the center of the cross sections is R , then the volume of the torus is V=2π2r2R .
What is the calculation for the volume of a cylinder?
The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm. Substitute 8 for r and 15 for h in the formula V=πr2h . Simplify.
What is the surface area of a torus?
The surface area of a torus is calculated by multiplying the circumference of the cross-section by the circumference of the ring. Volume = 2 × π × rc × 2 × π × R.
How do you find the volume of a diagonal cylinder?
What’s the radius of a cylinder formula?
- Volume of a cylinder: V = π * r² * h ,
- Base surface area of a cylinder: A_b = 2 * π * r² ,
- Lateral surface area of a cylinder: A_l = 2 * π * r * h ,
- Total surface area of a cylinder: A = A_b + A_l ,
- Longest diagonal of a cylinder: d² = 4 * r² + h² ,
How do you calculate the volume of a ring?
Starts here2:39Find the volume of a ring | Geometry | 7th grade | Khan Academy – YouTubeYouTube
How do you find the volume of a cylinder without the height?
Starts here3:52How to find the volume of a cylinder when not given the height – YouTubeYouTube
How do you find the equation of a torus?
Polyhedra with the topological type of a torus are called toroidal polyhedra, and have Euler characteristic V − E + F = 0. For any number of holes, the formula generalizes to V − E + F = 2 − 2N, where N is the number of holes.
How do you find the radius of a torus?
Starts here2:24Torus Volume and Surface Area – YouTubeYouTube
How do you find the volume of a cylinder without a radius?
Starts here6:41Calculate the Radius of a Cylinder When Given Its Volume and HeightYouTube
What is the the formula for volume?
Perimeter, Area, and Volume
| Table 3. Volume Formulas | ||
|---|---|---|
| Shape | Formula | Variables |
| Cube | V=s3 | s is the length of the side. |
| Right Rectangular Prism | V=LWH | L is the length, W is the width and H is the height. |
| Prism or Cylinder | V=Ah | A is the area of the base, h is the height. |