A closed cylindrical tank is made up of a sheet of metal .The height of the tank is 1.3m and radius is 70cm.How much sq.m of metal sheet was required?
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0
Answer:
440 m2
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Answered by
4
Answer:
8.8 m² of metal sheet was required.
Step-by-step explanation:
Given:
- A closed cylindrical tank is made up of a sheet of metal .
- The height of a cylindrical tank = 1.3 m
- Radius of a cylindrical tank = 70 cm
To find:
- How much m² of metal sheet was required?
Solution:
Here we will simply use the formula of total surface area of a cylinder and find its total surface area and that is equal to to the metal sheet which is required to cover the cylindrical tank.
N.B: For doing calculations the nature of the units should be same, so convert the radius which is in cm into m because we need to find the metal sheet required in metre unit only.
- 1 cm = 1/100 m
- 70 cm = 70/100
- = 7/10
- = 0.7 m
✰ Total surface area = 2πr(h + r)
Here,
r is the radius of a cylindrical tank.
h is the height of a cylindrical tank.
Putting the values in the formula, we have:
- Total surface area = 2 × 22/7 × 0.7(1.3 + 0.7)
- Total surface area = 2 × 22/7 × 0.7 × 2
- Total surface area = 2 × 22/7 × 7/10 × 2
- Total surface area = 2 × 22 × 1/10 × 2
- Total surface area = 44 × 1/10 × 2
- Total surface area = 88 × 1/10
- Total surface area = 88/10
- Total surface area = 8.8 m²
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