The volume of metallic cylindrical pipe is 748 centimetre cube its length is 14 cm and its external radius in 9 cm find its thickness
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The thickness is 0.5 cm
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don't ask for explanation
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3
:
8 cm
:
: Volume of cylindrical pipe = 748 cm³ and it's length is 14 cm and external radius is 9 cm .
: πR²h - πr²h , Where R represents another radius of pipe and r represent original radius of pipe,
πR²h - πr²h = 748 cm³
πh (R² - r² ) = 748 cm³
πh [ ( 9)² - (r²) ] = 748 cm³
π.14 [ 81 - r² ] = 748 cm³
14 π [ 81 - r² ] = 748 cm³
π [ 81 - r² ] = 748 ÷ 14
[ 81 - r² ] = 748 ÷ 14 ÷ π
[ 81 - r² ] = 748 ÷ 22/7 × 14
[ 81 - r² ] = 17
- r² = 17 - 81
- r² = - 64
r² = 64 cm ²
r = √64 cm
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