Question

A hollow metallic cylinder is made from a metallic sheet of 2.4 cm thickness. The inner

radius of the cylinder is 5.8 cm and the length is 50 cm. Find the volume of the metal used.
step by step explain plz​

Answer 1

The volume of the metal used is 5277.9 cm³.

Explanation:

The volume of a cylinder is given by:

`V = \pi r^(2) h`

Where:

r: is the radius

h: is the height = 50 cm

The volume of metal (
`V_(m)`) can be found by subtracting the internal volume (
`V_(i)`) from the external volume (
`V_(e)`):

`V_(m) = V_(e) - V_(i)`

`V_(m) = \pi r_(e)^(2) h - \pi r_(i)^(2) h`

The external radius is given by the sum of the internal radius with the tickness:

`r_(e) = t + r_(i)`

Hence, the volume is:

`V_(m) = \pi*50 cm((2.4 cm + 5.8 cm)^(2) - (5.8 cm)^(2)) = 5277.9 cm^(3)`

Therefore, the volume of the metal used is 5277.9 cm³.

I hope it helps you!