Use the diagram to solve for the value of x given that the volume of the figure is 315 in3.

The cylinder has a height of 9 inches and a diameter of 8 inches.

1 answer

To find the volume of a cylinder, you use the formula V = πr^2h, where r is the radius and h is the height.

Given that the diameter is 8 inches, the radius is half of that, so the radius is 4 inches.

Now we can plug in the values and solve for x:

315 = π(4)^2(9)
315 = 16π(9)
315 = 144π
315/144 = π
x = 2.1875

Therefore, the value of x is approximately 2.1875.