Vernier Calliper BIEK Practical Volume of Solid Cylinder Capacity of Test Tube


Experiment # 01Vernier Calliper

Object:

To determine (a) Volume of the given solid cylinder (b) capacity of the given hollow cylinder.
Working Formula:
Volume: Volume of a solid cylinder is given by:
Where R is the radius of the solid cylinder and L is the length of the solid cylinder.

Capacity:

Capacity or internal volume of a hollow cylinder is given by:
Where r is the internal radius of the hollow cylinder, h is the depth of the hollow cylinder.

Observations:

Least Count:

The smallest division on the main scale, S = 1mm.
Total number of divisions on vernier scale N = 10div.
L.C = S/N = 1mm/10 = o.1 mm = 0.01 cm

Zero Error:
Main Scale Reading MSR
cm
Vernier Scale Reading VSR
div
Fractional Part FP = VSR X L.C
cm
Total Reading TR = MSR + FP
cm
Mean Reading
cm
1
2
3
0
0
0
0
0
0
0
0
0
0
0
0

0



Length, diameter and depth:

Object
Quantity
SN
Main Scale Reading MSR
cm
Vernier Scale Reading VSR
div
Fractional Part FP = VSR X L.C
cm
Total Reading TR = MSR + FP
cm
Mean Reading
cm



Solid
Cylinder
Length of solid cylinder (L)
1
2
3
2.6
2.6
2.6
9
8
6
0.09
0.08
0.06
2.69
2.68
2.66
     2.68
External Diameter (D)
1
2
3
0.8
0.8
0.8
4
5
6
0.04
0.05
0.06
0.84
0.85
0.86
     0.85


Hollow Cylinder
Inner Diameter (d)
1
2
3
1
1
1
1
2
3
0.01
0.02
0.03
1.01
1.02
1.03
      1.02
Depth (h)
1
2
3
7.2
7.2
7.2
1
4
5
0.01
0.04
0.05
7.21
7.24
7.25
      7.23


Calculation:

Volume of Solid Cylinder (V):

Mean Length, L = 2.69+2.68+2.66/3
L = 2.68 cm
Mean Diameter, D = 0.84+0.85+0.86/3
D = 0.85 cm
Radius, R = D/2 = 0.85/2 = 0.425 cm


Volume, 




V = 3.14 x 0.1806 x 2.68
V = 1.5199 cm


Capacity of the hollow cylinder (C):

Mean Depth, h = 7.21+7.24+7.25/3 = 21.7/3
H = 7.23 cm
Mean inner diameter, d = 1.01+1.02+1.03/3
D = 3.06/3 = 1.02 cm
Inner radius, r = d/2 = 1.02/2 = 0.51 cm
Capacity, 
C = 3.14 x 2.601 x 7.233
C = 5.9075 cm x cm x cm

Result:

Volume of the given Solid Cylinder = 1.5199
Capacity of the given hollow cylinder = 5.9075



Prepared by:
Ishtiaq Ahmed








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