Find the Moment of Inertia About The $z$ -Axis of a Thin Funnel in the Shape of a a Thin

question 43

Short Answer

Find the moment of inertia about the $z$ -axis of a thin funnel in the shape of a cone $z = \sqrt { x ^ { 2 } + y ^ { 2 } } , 1 \leq z \leq 4$ , if its density function is $\rho ( x , y , z ) = 14 - z$ .

---

Definitions:

Sampling Distribution

The probability distribution of a given statistic based on a random sample, important in inferential statistics for making inferences about a population.

Population Variances

A measure of the dispersion or spread of the entirety of data points in a population.

Student-t

A distribution that looks similar to the normal distribution but has thicker tails, used especially in scenarios of small sample sizes.

Confidence Interval

A tract of values derived by statistical analysis of samples, thought to potentially include the value of a population parameter not yet known.