Answer:
[tex]V=2078.16\ cm^3[/tex]
Step-by-step explanation:
A rectangular sheet of dimensions 33 cm x 24 cm is rolled into a cylinder so that the smaller side becomes the height of the cylinder.
h = 24 cm
and the circumference of the cylinder, C = 33 cm
[tex]2\pi r=33\\\\r=\dfrac{33}{2\pi}\\\\r=5.25\ cm[/tex]
We need to find the volume of the cylinder so formed. The formula for the cylinder is given by :
[tex]V=\pi r^2h\\\\=\pi \times 5.25^2\times 24\\\\=2078.16\ cm^3[/tex]
So, the volume of the cylinder so formed is [tex]2078.16\ cm^3[/tex].
