Question

THE OUTER DIAMETER OF A METTALIC TUBE IS 14 CM ND THICKNESS OF THE TUBE IS 1 CM . FIND THE WEIGHT OF 2 M LONG TUBE IF THE THE DENSITY OF RHE METAL IS 7GM/(CM CUBE

Answer 1

Answer:

Outer Diameter = 14cm

Outer Radious = 7cm

Thickness of tube = 1cm

Inner radius = 7-1 =6cm

Length of tube = 2m = 200cm

Density of Metal = 7gm/cm^3

Weight of Tube :

Volume of Metal × Density of Metal

$\pi {r}^{2} h - \pi {r}^{2} h$

$\pi( {r}^{2} - {r}^{2} )h$

$\frac{22}{7} ( {7}^{2} - {6}^{2} ) \times 200$

$\frac{22}{7} \times 13 \times 200 {cm}^{3}$

Weight =

$\frac{22}{7} \times 13 \times 200 \times 7gm$

$57200 \: gm$