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Find the height of circular whose volume is 1.54 metres cube and diameter of base is 140 CM?
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Find the height of circular whose volume is 1.54 metres cube and diame...
Understanding the Problem
To find the height of a circular cylinder when given its volume and the diameter of its base, we can use the formula for the volume of a cylinder:
Volume (V) = π * r² * h
Where:
- V is the volume
- r is the radius of the base
- h is the height
Given Data
- Volume (V) = 1.54 cubic meters
- Diameter of the base = 140 cm
Convert Measurements
- Convert diameter to radius:
- Radius (r) = Diameter / 2 = 140 cm / 2 = 70 cm
- Convert radius to meters:
- r = 70 cm = 0.70 meters
Calculate the Height
1. Rearrange the volume formula to find height (h):
- h = V / (π * r²)
2. Substitute the known values:
- h = 1.54 / (π * (0.70)²)
3. Calculate:
- h = 1.54 / (π * 0.49)
- h = 1.54 / (1.53996) [using π ≈ 3.14]
4. Final Calculation:
- h ≈ 1.00 meters
Conclusion
The height of the circular cylinder is approximately:
- 1.00 meters
This calculated height will help understand how tall the cylinder is when filled with a volume of 1.54 cubic meters.
To find the height of a circular cylinder when given its volume and the diameter of its base, we can use the formula for the volume of a cylinder:
Volume (V) = π * r² * h
Where:
- V is the volume
- r is the radius of the base
- h is the height
Given Data
- Volume (V) = 1.54 cubic meters
- Diameter of the base = 140 cm
Convert Measurements
- Convert diameter to radius:
- Radius (r) = Diameter / 2 = 140 cm / 2 = 70 cm
- Convert radius to meters:
- r = 70 cm = 0.70 meters
Calculate the Height
1. Rearrange the volume formula to find height (h):
- h = V / (π * r²)
2. Substitute the known values:
- h = 1.54 / (π * (0.70)²)
3. Calculate:
- h = 1.54 / (π * 0.49)
- h = 1.54 / (1.53996) [using π ≈ 3.14]
4. Final Calculation:
- h ≈ 1.00 meters
Conclusion
The height of the circular cylinder is approximately:
- 1.00 meters
This calculated height will help understand how tall the cylinder is when filled with a volume of 1.54 cubic meters.
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Find the height of circular whose volume is 1.54 metres cube and diameter of base is 140 CM?
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Find the height of circular whose volume is 1.54 metres cube and diameter of base is 140 CM? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Find the height of circular whose volume is 1.54 metres cube and diameter of base is 140 CM? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the height of circular whose volume is 1.54 metres cube and diameter of base is 140 CM?.
Find the height of circular whose volume is 1.54 metres cube and diameter of base is 140 CM? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Find the height of circular whose volume is 1.54 metres cube and diameter of base is 140 CM? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the height of circular whose volume is 1.54 metres cube and diameter of base is 140 CM?.
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