Maths-
General
Easy

Question

The volume of a metallic cylindrical pipe is 748 cubic.cm Its length is 14 cm., and its external radius is 9 cm. Find its thickness?

Hint:

We find the internal radius and subtract it from external radius to get the thickness.

The correct answer is: The thickness of the pipe is 8 cm.


    Explanations:
    Step 1 of 1:
    Let the internal radius of the pipe be r .
    Given, external radius R  = 9cm
    Length = height of the pipe h = 14cm
    We have volume of pipe = 748
    not stretchy rightwards double arrow pi h open parentheses R squared minus r squared close parentheses equals 748
    not stretchy rightwards double arrow pi cross times 14 left parenthesis 9 plus r right parenthesis left parenthesis 9 minus r right parenthesis equals 748
    not stretchy rightwards double arrow 81 minus r squared equals 748 cross times 7 over 22 cross times 1 over 14
    not stretchy rightwards double arrow r squared equals 81 minus 17 equals 64
    not stretchy rightwards double arrow r equals 8 cm
    Final Answer:
    The thickness of the pipe is 8 cm.

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