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The diameter of a sphere formula with volume is, d = (6V/π)^ (1/3), where d is the diameter of the sphere and V is its volume. Alternatively, we can substitute the value of V, in the volume formula, V = (4/3) π r 3, solve it for r, and make it double to find the diameter.
Formula – How to calculate the diameter of a sphere from the volume. Step 1: Calculate the radius. Radius = 3 √ ( (3 x Volume) ÷ (4 x π)) Step 2: Calculate the diameter. Diameter = Radius x 2.
The volume of a sphere can be found with the following equations: With given radius: V = 4/3 × π × r³, With given diameter: V = 1/6 × π × d³, With given area: V = √(A³ / (36 × π)). Try our equation of a sphere calculator to learn how to calculate the volume of a sphere from its equation.
The diameter of a sphere is equal to the line segment connecting two ends of the sphere and passing through the center. Diameter is an important measure of the sphere since, similar to the radius, we can also use the diameter to calculate the volume and surface area of the sphere.
Alternatively, you can find the sphere equation if you know its center and any point on its surface or if you know the end-points of any of its diameters. This calculator can also find the center and radius of a sphere from its equation.
There are four main formulas for a sphere which include sphere diameter formula, sphere surface area, and sphere volume. All these formulas are mentioned in the table given below and an example is also provided here.
Diameter. The basic formula to calculate the diameter of a sphere is: Diameter (d) = (6V/π) 1/3, here V = volume, π = 22/7 = 3.141. Let us solve some examples to understand the concept better.
To find the diameter of a sphere we must use the equation for the volume of a sphere to find the radius which is half of the diameter. The equation is. First we enter the volume into the equation yielding. We then divide each side by to get. We then multiply each side by to get.
Equation of a Sphere. In analytical geometry, if “r” is the radius, (x, y, z) is the locus of all points and (x0, y0, z0) is the center of a sphere, then the equation of a sphere is given by: (x -x0)2 + (y – y0)2 + (z-z0)2 = r2.
Correct answer: Explanation: If the circumference of a sphere is , that means we can easily solve for the diameter by using .