Cylinder volume formula:
V=πr^2h
Substitute given values into the formula
Note: use 3.14 for pi
Diameter is twice the radius, so if diameter is 8 then radius is 4
371.776 = (3.14)(4^2)h
Use h for height because we don't know the height
Okay, so let's try to get the h by itself on the left side of the equation
So begin by getting rid of 3.14 by dividing it by both sides
371.776/3.14 = 118.4
3.14/3.14 = 1 (don't put 1, just remove the 3.14 from the right side)
So now we have:
118.4 = 4^2(h)
Now we can get rid of 4^2
Start by actually squaring it and then divide it from both sides
118.4 = 16(h) (4^2 = 16)
118.4/16 = 7.4
16/16 = 1 (dont put 1, just drop it)
So now we have
7.4 = h
Now we have h by itself! So h = 7.4
let's test it by putting it in the cylinder volume formula
V = πr^2h
371.776 = (3.14)(4^2)(7.4)
371.776 = (3.14)(16)(7.4)
371.776 = 50.24(7.4)
371.776 = 371.776
7.4 is your answer, if you have any questions, feel free to ask