Answer:
The diameter of can is 48 inches.
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 [tex]r.[/tex]
So, by putting the formula of volume we get the radius:
[tex]Volume =\pi r^2h[/tex]
[tex]6068=3.14\times r^2\times 3.3[/tex] (taking the value of π=3.14)
[tex]6068=10.362\times r^2[/tex]
Dividing both sides by 10.362 we get:
[tex]585.60=r^2[/tex]
Using square root on both sides we get:
[tex]24.199=r[/tex]
Radius = 24.199 inches.
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.
