Question
Download Solution PDFThe volume of a metallic cylindrical pipe is 7480 cm3. If its length is 1.4 m and its external radius is 9 cm, then its thickness (given π = 22/7) is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGIven:
Length of the cylinder (h) = 1.4 m = 140 cm, External radius of cylinder, R = 9 cm and internal radius of cylinder = r cm
Concept:
Volume of solid cylinder, \(V_s=\pi R^2h\)
Volume of hollow cylinder, \(V_h=\pi (R^2-r^2)h\)
Calculation:
Volume of hollow cylinder = \(V_h= \pi (R^2-r^2)h\)
\(\Rightarrow 7480=\frac{22}{7} \times (9^2-r^2) \times 140\)
\(\Rightarrow(81-r^2) = 17\)
⇒ r = 8 cm
∴ Thickness of the cylindrical pipe = R – r = 9 – 8 = 1 cmLast updated on Jun 9, 2025
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