Question

A hollow metal pipe of internal diameter 7cm and external diameter 8cm is 6.16m long calculate the volume of metal making the pipe in cubic centimetres​

Answer 1

Answer:

The volume of the hollow metal pipe is approximately 72.571 cubic centimeters.

Step-by-step explanation:

The volume of the metal is the space occupied by the hollow pipe. Since it is a hollow cylinder, the volume ($V$), in cubic centimetres, is defined by following expression:

$V = \frac{\pi}{4} \cdot (D_{e}^{2}-D_{i}^{2})\cdot l$ (1)

Where:

$D_{e}, D_{i}$ - External and internal diameters, in centimetres.

$l$ - Length, in centimetres.

If we know that $D_{i} = 7\,cm$, $D_{e} = 8\,cm$ and $l = 6.16\,cm$, then the volume of the hollow metal pipe is:

$V = \frac{\pi}{4} \cdot (D_{e}^{2}-D_{i}^{2})\cdot l$

$V\approx 72.571\,cm^{3}$

The volume of the hollow metal pipe is approximately 72.571 cubic centimeters.