Step-by-step explanation:
We know
Volume of a cylinder is [tex]V = \pi r^{2}h[/tex]
[tex]V = \pi \left (\frac{D}{2}\right )^{2}h[/tex]
where V is volume of the soda can = 36 (given )
D is diameter = 4 (given )
h is the height of the soda can
[tex]V = \pi \left (\frac{D}{2}\right )^{2}h[/tex]
[tex]V = \pi \frac{D^{2}}{4}h[/tex]
36 = 3.14 x (16/4) x h
36 = 3.14 x 4 x h
36 = 12.56 x h
∴ 36 / 12.56 = h
h = 2.87
Now we know that the volume of a cone is given by
[tex]V = \pi\times \frac{D^{2}}{4}\times \frac{h}{3}[/tex]
[tex]V = \pi\times \frac{4^{2}}{4}\times \frac{2.87}{3}[/tex]
= 3.14 x 4 x 0.95
= 11.932
= 12 (approx.)
Therefore 12 units cube of volume can be easily fitted in a soda can of 36 unit cubes.
