fmcryuvnar
contestada

A cylindrical hollow metal pipe is 16 cm long.
It has an external diameter of 10 cm and an internal diameter of 8 cm.
The density of the metal from which the pipe is made is 8 grams per cm3

What is the mass of the pipe in grams?

Respuesta :

mhanifa

Answer:

  • 3617.28 grams

Step-by-step explanation:

Find the volume of the metal as following:

  • [tex]V_{metal}=V_{external}-V_{internal}[/tex]

  • [tex]V_{external} = \pi d_{external}^2h/4=\pi *10^2*16/4=1256[/tex]  cm³
  • [tex]V_{internal} = \pi d_{internal}^2h/4=\pi *8^2*16/4=803.84[/tex] cm³

  • [tex]V_{metal}=1256-803.84 = 452.16[/tex] cm³

Find the mass:

  • [tex]mass = volume*density[/tex]
  • [tex]mass = 452.16*8=3617.28[/tex] grams

Otras preguntas