Question

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

Answer 1

Answer:

The volume of the metal used is 5277.9 cm³.

Step-by-step 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!