The metal with the volume of 1496m cube is used to cast a pipe of length 28cm . If the internal radius of the pipe is 8cm , find its outer radius
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The metal with the volume of 1496 m cube is used to cast a pipe of length 28 cm . If the internal radius of the pipe is 8 cm , find its outer radius.
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The volume of the metal = 1496 cm³
The length of the pipe i.e., its height = 28 cm
The Inner radius, r = 8 cm
Let the outer radius of the pipe be denoted as “R”.
The volume of the hollow pipe = π*h [R² – r²]
⇒ 1496 = (22/7) * 28 * [R² – 8²]
⇒ [R² - 64] = 1496/[22*2]
⇒ R² = 17 + 64
⇒ R² = 81
⇒ R = 9 cm
Thus, the outer radius of the pipe is 9 cm.
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