a metalpipe is 77cm long the inner diameter of a cross section is 4 cm the outer diameter being 4.4cm find its inner and outer csa and tsa
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Answer:
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Step-by-step explanation:
R= 2 AND r IS 2.2
INNER CSA=2*PI*R*H=768cm*2
OUTER=SAME FORMULA(2*PI*r*H)=1064.8cm*2
tsa= outer + inner +(4/3 *pi* r*3-R*3)
Answered by
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Given:-
- A metalpipe is 77cm long the inner diameter of a cross section is 4 cm the outer diameter being 4.4cm.
To find:-
- find its inner and outer csa and tsa.
Solutions:-
- Inner radius of cylinder pipe = 4/2 = 2cm
- Outer radius of cylinder pipe = 4.4/2 = 2.2cm
- Height of cylinder pipe = length of cylunder pipe = 77cm
CSA of the inner surface of pipe = 2πr1h
= 2 × 22/7 × 2 × 77
= 2 × 22 × 2 × 11
= 968cm²
CSA of outer surface of pipe = 2πr2h
= 2 × 22/7 × 2.2 × 77
= 2 × 22 ×2.2 × 11
= 1064.8cm²
TSA of pipe = CSA of inner surface + CSA of outer surface + area of both circular ends of pipe.
= 2πr1h + 2πr2h + 2π[(r2)² - (r1)²]
= 968 + 1064.8 + 2π[(2.2)² - (2)²]
= 2032.8 + 2 × 22/7 [4.84 - 4]
= 2032.8 + 2 × 22/7 × 0.84
= 2032.8 + 5.28
= 2038.08
Hence, the total surface area of the cylinder pipe is 2038.08cm².
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