A cylindrical metal pipe has external diameter of 6cm and internal diameter of 4cm. Calculate the volume of metal in a pipe of length 1 meter. If 1cm^3 of the metal has a mass of 8 grams, find the mass of the pipe.

Respuesta :

Answer:

volume is 1570 cm³

mass is 12560 g

Step-by-step explanation:

1m = 100 cm

the volume is :

1/4 x [tex]\pi[/tex] x 6² x 100 - 1/4 x [tex]\pi[/tex] x 4² x 100

= 900 [tex]\pi[/tex] - 400 [tex]\pi[/tex]              { v = 1/4 [tex]\pi[/tex] d²h }

= 500 [tex]\pi[/tex]

= 500 x 3.14

= 1570 cm³

the mass of the pipe is:

1570 x 8 = 12560 grams