Sphere is a basic object used in every day life and in industries. If a person learns to calculate a volume of sphere with the help of vernier calipers then one can calculate the volume of any sphere whether a spherical bowl, spherical glass, spherical tanks etc. So the process of measuring diameter and calculating volume of sphere is discussed in detail.
Volume of the sphere :
A methodological procedure can be used to find the volume of a sphere. Just grip the sphere from different positions to find the values of the Main Scale Reading and the Vernier Coincidence and record the values in a table. Use this to find the mean diameter and the mean radius (mean diameter/2). Then put these values in the formula V= 4/3 x pi x r^3 to find the volume of the sphere.
- a) Diameter of the sphere :
| S.No | M.S.R acm | Vernier Coincidence (n) | Fraction b=(n-x)*L.C | Total Reading (a+b) cm |
| 1. | ||||
| 2. | ||||
| 3. | ||||
| 4. | ||||
| 5. |
From the above table calculate the average of diameter by combining all five readings into one.
Average diameter of the sphere d = 2r = (d1 + d2 + d3 + d4 + d5)/5 = …………. cm,
Mean radius of the sphere r = d/2 = ………….. cm,
Volume of the sphere V = 4/3 x pi x r^3
