A cylindrical metal pipe of thickness 1.4 cm and external diameter 56 cm is
14 m long. Find the volume of metal used in the construction of the pipe.
Answers
Answer:
Volume of metal used is 0.3362 m³
Answer:
Volume of metal used is 0.3362 m³
step by step explanation :
Length of the pipe L = 14 m
External dia of the pipe = 56 cm
External radius of the pipe r₁ = 56/2 = 28 cm
Internal dia of the pipe = 56 - 1.4 - 1.4 = 53.2 cm
Internal radius of the pipe r₂ = 26.6 cm
Volume of the metal used
= Volume of the external cylinder - Volume of the internal cylinder
=\pi r_1^2L-\pi r_2^2L=πr
1
2
L−πr
2
2
L
=\pi L(r_1^2-r_2^2)=πL(r
1
2
−r
2
2
)
=\pi \times 14[(28\times 10^{-2})^2-(26.6\times 10^{-2})^2)=π×14[(28×10
−2
)
2
−(26.6×10
−2
)
2
)
=\pi \times 14\times 10^{-4}[(28\times 10^{-2})^2-(26.6\times 10^{-2})^2)=π×14×10
−4
[(28×10
−2
)
2
−(26.6×10
−2
)
2
)
=\pi \times 14\times 10^{-4}(784-707.56)=π×14×10
−4
(784−707.56)
=3.14 \times 14\times 76.44\times 10^{-4}=3.14×14×76.44×10
−4
=0.3362=0.3362 m³