a solid cuboidal slab of iron of dimensions 66cm,20cm and 27cm respectively is used to cast an iron pipe .if the outer diameter of the pipe is 10cm and thickness is 1cm then calculate the length of the pipe
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Dear Student,
● Answer -
Length of pipe = 12.6 m
● Explanation -
Volume of iron available to cast is -
Volume = l × b × x
Volume = 66 × 20 × 27
Volume = 35640 cu.cm
Iron pipe will have will have outer radius is 10/2 = 5 cm. Hence, inner diameter is 5-1 = 4 cm.
Volume will be same as that of iron cube used.
Volume = πh (R^2 - r^2)
35640 = 22/7 × h × (5^2 - 4^2)
35640 = 22/7 × h × (25 - 16)
h = 35640 × 7 / (22 × 9)
h = 1260 cm
h = 12.6 m
Hence, length of pipe is 12.6 m.
Hope this helps you...
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