Question

the volume of a metallic cylindrical pipe is 748cm3. its length is 14cm and its external radius is 9cm find its thicknesss

Answer 1

Heya !!!


Length of metallic cylinder = 14 cm


External radius (R) = 9 cm

Internal radius (r) = R1


Therefore,


Volume of metallic cylinder = πH ( R²-r²)

748 = 22/7 × 14 × { (9)² - (R1)² }


748 = 22 × 2 × ( 81 - R²1)


748 = 44 × ( 81 - R²1)


81 - R²1 = 748/44


81 - R²1 = 17



R²1 = 81 - 17


R²1 = 64


R1 = ✓64 = 8 cm


Internal radius (R1) = 8 cm


Therefore,


Thickness of metallic cylinder = External radius - Internal radius = 9 -8 = 1 cm



Hence,


Thickness of metallic cylinder is 1 cm



HOPE IT WILL HELP YOU..... :-)