Answer:
The diameter of can is<u> 48 inches</u>.
Step-by-step explanation:
Given:
Volume of can = 6068 inches.
And height(h) = 3.3 inches.
Now, to find the diameter.
Diameter = 2 × radius
Let radius be ![r.](https://tex.z-dn.net/?f=r.)
So, by putting the formula of volume we get the radius:
![Volume =\pi r^2h](https://tex.z-dn.net/?f=Volume%20%3D%5Cpi%20r%5E2h)
(taking the value of π=3.14)
![6068=10.362\times r^2](https://tex.z-dn.net/?f=6068%3D10.362%5Ctimes%20r%5E2)
<em>Dividing both sides by 10.362 we get:</em>
![585.60=r^2](https://tex.z-dn.net/?f=585.60%3Dr%5E2)
<em>Using square root on both sides we get</em>:
![24.199=r](https://tex.z-dn.net/?f=24.199%3Dr)
<em>Radius = 24.199 inches.</em>
Then, we get the diameter:
Diameter = 2 × radius
Diameter = 2 × 24.199 = 48.398 inches.
Diameter = 48 inches (rounding to nearest, inch as in the place of tenth it is 3 which is less than 5.)
Therefore, the diameter of can is 48 inches.