Answer:
5 inches.
Step-by-step explanation:
hello
assuming the can is perfectly cylindrical, as a circle as base, the volume of the cylinder is
[tex]V=b*h\\[/tex]
where b is the base and h is the height
Now, b is the area of the circle
[tex]base= Area\ of\ the\ circle\\Area\ of\ the\ circle=\pi r^{2}[/tex]
replacing in the volume equation
[tex]V=\pi r^{2}*h\\[/tex]
Step 1
isolate height from this equation , h is the unknown data
[tex]V=\pi r^{2}*h\\\frac{V}{\pi r^{2}} =h[/tex]
Step 2
put the values into the equation
Let
π = 3.14.
V= 15.7 cubic inches
Diameter= 2 inch
we need the radius,so
[tex]D=2r\\r=\frac{D}{2}\\r=\frac{2 in}{2}\\r =1\ inch \[/tex]
put the values into the equation
[tex]h=\frac{V}{\pi r^{2}} \\\\\h=\frac{15.7\ cubic\ inches}{ 3.14* (1 inch)^{2}}} \\\\h=5\inches \\[/tex]
the height is 5 inches
Have a great day.
