How do you find the volume of a sphere given the diameter?
The volume of a sphere (V) in terms of its radius (r) is V = (4/3) π r3. If d is its diameter, we have d = 2r. From this, we get r = (d/2). Substituting this in the volume formula, the volume of a sphere in terms of diameter is V = (πd3)/6.
How calculate the volume of a sphere?
If the surface area is multiplied by the diameter, the volume will be obtained, in which every point on its surface is equidistant from its center. Mathematically, to calculate the volume of a sphere, the following formula is used: The volume of a sphere = 4/3 𝜋 r³, where r is the radius of the sphere.
How do you find volume using radius?
Sphere Formulas in terms of radius r: Volume of a sphere: V = (4/3)πr.
How do you find the volume with the radius?
Sphere Formulas in terms of radius r:
- Volume of a sphere: V = (4/3)πr.
- Circumference of a sphere: C = 2πr.
- Surface area of a sphere: A = 4πr.
How do you find volume with radius?
What is the diameter of one sphere?
There are four main formulas for a sphere which include sphere diameter formula, sphere surface area, and sphere volume….Formulas of a Sphere.
| Sphere Formulas | |
|---|---|
| Diameter of a Sphere | D = 2 r |
| Surface Area of a Sphere | A = 4 π r2 |
| Volume of a Sphere | V = (4 ⁄ 3) π r3 |
How do you find the volume when given the diameter and length?
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- Measure the circular base to get the diameter.
- Divide the diameter by 2 to get the radius.
- Calculate the area with the formula: A = πr^2, where r is the radius.
- Measure the height of the cylinder.
- Multiply the area by the height to get the Volume.
How do you find volume with length and diameter?
How many volume of spheres are used to fill a cylinder?
Or more simply the sphere’s volume is 2 3 of the cylinder’s volume!…Volume of a Sphere vs Cylinder.
| The volume of the cylinder is: | π × r2 × h = 2 π × r3 |
|---|---|
| The volume of the sphere is: | 4 3 π × r3 |
How do you calculate the volume of a sphere and a cylinder?
The formula for the volume of a sphere is 4⁄3πr³. For a cylinder, the formula is πr²h. A cone is ⅓ the volume of a cylinder, or 1⁄3πr²h.