Determine the moment of inertia of a cylinder
of radius 0.37 m, height 1.8 m and density
(1.11 − 0.555 r + 0.284 r2) kg/m3 about the
Answer in units of kg · m2.
I = mr^2
Density = Mass/Volume
Volume of a cylinder = (Pie)(radius^2)(Height)
The Attempt at a Solution
I used the density formula and solved for mass, Mass = (Density)(Volume). To get the volume, I used the volume for a cylinder formula and plugged in my numbers. From the volume and density, I got mass = (1.11-0.555r+0.284r^2)(Pie)(.37^2)(1.8). I then plugged my mass into the Inertia equation, getting I = (mass)(.37^2). I calculated it all out and got I = 0.099997.
This is wrong and I don't know what I'm doing wrong. Am i supposed to integrate the radius, but that wont do anything because r is a constant.