How to find the mass of a sphere

How to find the mass of a sphere

Body weight - the physical quantity which characterizes degree of its inertness. The mass of a physical body depends on the volume of space which it occupies, and density of material of which it consists. It is not difficult to calculate the volume of a body of the correct form (for example, a sphere) and if also material of which it consists then is known it is possible to find weight very simply.

Instruction

1. Determine sphere volume. For this purpose the nobility one of its parameters - the radius, diameter, surface area, etc. is enough. For example, knowing diameter of a sphere (d), its volume (V) can be determined how the one sixth part from the work of the cubed diameter on Pi's number: V=π ∗ d³/6. Through the radius of a sphere (r) the volume is expressed as one third of the work of number of Pi increased four times on the radius cubed: V=4 ∗π ∗ r³/3.

2. Calculate the mass of a sphere (m), having increased its volume by the known density of substance (p): m=p∗V. If material of a sphere is not uniform, then it is necessary to take average density. Having substituted in this formula of scoping of a sphere through its known parameters, it is possible to receive with the known diameter of a sphere a formula m=p ∗π ∗ d³/6, and at the known radius of m=p∗4 ∗π ∗ r³/3.

3. Use for calculations, for example, the standard program calculator which is a part of the basic software of the Windows operating system of any of the versions which are actively used today. The easiest way to start it - to press a combination of the keys win + r to open standard dialogue of start of programs, then to make the calc team and to click on the OK button. In the menu of the calculator open the section "Look" and choose the line "Engineering" or "Scientific" (depending on the used version of OS) - the interface of this mode has the button for input of value of number of Pi one click of a mouse. Operations of multiplication and division in it calculators should not raise questions, and for exponentiation at calculation of mass of a sphere there will be enough buttons with x^2 and x^3 symbols.

Author: «MirrorInfo» Dream Team


Print