Find the volume of the cylinder in terms of X the diagram is not shown to scale 1.7 m inside the cylinder 15m on top of the cylinder

1 answer

To find the volume of the cylinder, we first need to find the radius of the base of the cylinder.
Let the radius of the base be r meters.

The total height of the cylinder is the sum of the inside height and the height above the cylinder:
15m + 1.7m = 16.7m

The formula for the volume of a cylinder is V = πr^2h, where r is the radius of the base and h is the height of the cylinder.

Given that the total height of the cylinder is 16.7m:

V = πr^2(16.7)

Since we do not know the exact value of r, the volume of the cylinder in terms of r is:

V = 16.7πr^2

Therefore, the volume of the cylinder in terms of X is:

V = 16.7πX^2