To Determine Volume Of The Given Hollow Cylindrical Tube By Using Vernier Callipers. | Grade Xi
Rohan Koirala - Sat Dec 23 2023
0APPARATUS REQUIRED
- Hollow cylindrical tube
- Vernier callipers
- Measuring cylinder
- Distilled water
CHEMICALS REQUIRED
NoneTHEORY
The volume of a hollow cylindrical tube can be calculated using the formula:
V = πr^2h
where:
- V is the volume of the tube in cubic centimeters (cm^3)
- π is the mathematical constant pi (approximately 3.14)
- r is the radius of the tube in centimeters (cm)
- h is the height of the tube in centimeters (cm)
PROCESS
- Measure the length of the tube using the Vernier callipers. Record the measurement in centimeters (cm).
- Measure the inner diameter of the tube using the Vernier callipers. Record the measurement in centimeters (cm).
- Calculate the radius of the tube using the formula:
r = d/2
where:
- r is the radius of the tube in centimeters (cm)
d is the inner diameter of the tube in centimeters (cm)
Measure the volume of the tube using the measuring cylinder. Record the measurement in cubic centimeters (cm^3).
- Calculate the theoretical volume of the tube using the formula:
V = πr^2h
where:
- V is the volume of the tube in cubic centimeters (cm^3)
- π is the mathematical constant pi (approximately 3.14)
- r is the radius of the tube in centimeters (cm)
h is the height of the tube in centimeters (cm)
Compare the experimental and theoretical volumes of the tube.
OBSERVATIONS
- Length of the tube = _____ cm
- Inner diameter of the tube = _____ cm
- Radius of the tube = _____ cm
- Volume of the tube (experimental) = _____ cm^3
- Volume of the tube (theoretical) = _____ cm^3
OBSERVATION TABLE
| Measurement | Value | Unit |
|---|---|---|
| Length of the tube | _ | cm |
| Inner diameter of the tube | cm | |
| Radius of the tube | __ | cm |
| Volume of the tube (experimental) | _ | cm^3 |
| Volume of the tube (theoretical) | ___ | cm^3 |
CALCULATION
- Radius of the tube:
- Volume of the tube (theoretical):
V = πr^2h = π × (_____ cm)^2 × _____ cm = _____ cm^3
RESULTS
- The experimental volume of the tube is _____ cm^3.
- The theoretical volume of the tube is _____ cm^3.
- The percentage error is:
% error = |(experimental volume - theoretical volume) / theoretical volume| × 100% = |_____ cm^3 - _____ cm^3| / _____ cm^3 × 100% = _____%
PRECAUTIONS
- Ensure that the Vernier callipers and measuring cylinder are properly calibrated before use.
- Take accurate measurements of the length and diameter of the tube.
- Ensure that the tube is completely filled with water when measuring its volume.
- Avoid parallax error when reading the measurements.