Find the area of metal required to make the can illustrated alongside. Include the top and bottom in your answer. *
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Step-by-step explanation:
r=6cm, h=8cm
The curved surface area of a cylinder=2xrh
.....(formula)
=2× 3.14×6×8= 301.44cm
the total surface area of a cylinder= 2xr(r+h)
=2×3.14×6(6+8)
=2×3.14×6×14
=527.52cm
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Answer
- The area of the metal required is 207.42 cm²
Exolanation
Given
- We are given a can of bese diameter 6 cm
- Height of the can is 8 cm
To Find
- Area of metal required to make the can
Solution
[Here the area of the metal required will be equal to the TSA of the can]
→ TSA(cylinder) = 2πr(h+r)
✭ Radius of the cylinder
→ Radius = Diameter/2
→ Radius = 6/2
→ Radius = 3 cm
✭ TSA of the cylinder
→ TSA(cylinder) = 2πr(h+r)
→ TSA = 2 × 22/7 × 3(8+3)
→ TSA = 2 × 22/7 × 3(11)
→ TSA = 2 × 22/7 × 33
→ TSA = 207.42 cm²
Therefore the required area of the metal to make the can is 207.42 cm²
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