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

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

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 = (\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 = (\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.