the volume of a metallic cylindrical pipe is 748 cm3 its length is 14cm n external radius is 9 - Maths - Surface Areas and Volumes

Question

the volume of a metallic cylindrical pipe is 748 cm3 its length
is 14cm n external radius is 9 cm find its thickness

Ajanta Trivedi · Accepted Answer

volume of the metallic cylindrical pipe = 748 $c m^{3}$

length of the cylindrical pipe h =14 cm

external radius of the pipe R = 9 cm

let the internal radius of the cylindrical pipe be r cm.

therefore the volume of the metallic pipe = $π (R^{2} - r^{2}) h$

therefore

$\frac{22}{7} (9^{2} - r^{2}) * 14 = 748 44 (81 - r^{2}) = 748 81 - r^{2} = \frac{748}{44} = 17 r^{2} = 81 - 17 = 64 r = \sqrt{64} = 8 c m$

thickness of the metallic pipe = R-r=9-8=1 cm

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