A cylindrical pipe made of metal is 3cm thick if the internal radius of pipe is 10cm find the volume of the metal used in making 3m of the pipe (answer in cm3 in terms of pie)

Answer 1

First, we need to calculate the external radius of the pipe:

External radius = Internal radius + Thickness
External radius = 10cm + 3cm
External radius = 13cm

Now, we can calculate the volume of the metal used in making 3m of the pipe:

Length of the pipe = 3m = 300cm

Volume of the metal = π((External radius)^2 - (Internal radius)^2) x Length
Volume = π((13cm)^2 - (10cm)^2) x 300cm
Volume = π(169cm^2 - 100cm^2) x 300cm
Volume = π(69cm^2) x 300cm
Volume = 20700π cm^3

Therefore, the volume of the metal used in making 3m of the pipe is 20700π cm^3.