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The length of a uniform rod is 100.0cm and radius is 1.00cm.If length is measured with a meter rod having least count 1mm and radius is measured with vernier callipers having least count 0.1mm,the % error in calculated volume of cylinder is?
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The length of a uniform rod is 100.0cm and radius is 1.00cm.If length ...
Calculating the % Error in Calculated Volume of Cylinder
Given:
Formula: Volume of cylinder = πr²h
Calculating the length:
Calculating the radius:
Calculating the volume:
Conclusion: The % error in calculated volume of cylinder is 5.89%. This error is due to the errors in measuring the length and radius of the rod using instruments with finite least counts.
Given:
- Length of rod = 100.0 cm
- Radius of rod = 1.00 cm
- Least count of meter rod = 1 mm
- Least count of vernier callipers = 0.1 mm
Formula: Volume of cylinder = πr²h
Calculating the length:
- Actual length = 100.0 cm
- Measured length = 100.0 ± 0.1 cm (taking least count into account)
- % Error in length = (Measured length - Actual length)/Actual length x 100
- % Error in length = (100.1 - 100.0)/100.0 x 100
- % Error in length = 0.1%
Calculating the radius:
- Actual radius = 1.00 cm
- Measured radius = 1.00 ± 0.1 mm (taking least count into account)
- % Error in radius = (Measured radius - Actual radius)/Actual radius x 100
- % Error in radius = (1.00 + 0.1 - 1.00)/1.00 x 100
- % Error in radius = 10%
Calculating the volume:
- Actual volume = π x (1.00)² x 100.0 = 314.16 cm³
- Measured volume = π x (1.00 + 0.1)² x (100.0 ± 0.1) = 332.67 cm³
- % Error in volume = (Measured volume - Actual volume)/Actual volume x 100
- % Error in volume = (332.67 - 314.16)/314.16 x 100
- % Error in volume = 5.89%
Conclusion: The % error in calculated volume of cylinder is 5.89%. This error is due to the errors in measuring the length and radius of the rod using instruments with finite least counts.
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The length of a uniform rod is 100.0cm and radius is 1.00cm.If length ...
0.021
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The length of a uniform rod is 100.0cm and radius is 1.00cm.If length is measured with a meter rod having least count 1mm and radius is measured with vernier callipers having least count 0.1mm,the % error in calculated volume of cylinder is?
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The length of a uniform rod is 100.0cm and radius is 1.00cm.If length is measured with a meter rod having least count 1mm and radius is measured with vernier callipers having least count 0.1mm,the % error in calculated volume of cylinder is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The length of a uniform rod is 100.0cm and radius is 1.00cm.If length is measured with a meter rod having least count 1mm and radius is measured with vernier callipers having least count 0.1mm,the % error in calculated volume of cylinder is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The length of a uniform rod is 100.0cm and radius is 1.00cm.If length is measured with a meter rod having least count 1mm and radius is measured with vernier callipers having least count 0.1mm,the % error in calculated volume of cylinder is?.
The length of a uniform rod is 100.0cm and radius is 1.00cm.If length is measured with a meter rod having least count 1mm and radius is measured with vernier callipers having least count 0.1mm,the % error in calculated volume of cylinder is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The length of a uniform rod is 100.0cm and radius is 1.00cm.If length is measured with a meter rod having least count 1mm and radius is measured with vernier callipers having least count 0.1mm,the % error in calculated volume of cylinder is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The length of a uniform rod is 100.0cm and radius is 1.00cm.If length is measured with a meter rod having least count 1mm and radius is measured with vernier callipers having least count 0.1mm,the % error in calculated volume of cylinder is?.
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