Learning Goal:

A centroid is an object's geometric center. For an object of uniform composition, its

centroid is also its center of mass. Often the centroid of a complex composite body is

found by$,$ first, cutting the body into regular shaped segments, and then by calculating the

weighted average of the segments' centroids. An object is made from a uniform piece of

sheet metal. The object has dimensions of $a=1\mathrm{.}20ft,$ where $a$ is the diameter of the

semi$-$circle, $b=3\mathrm{.}66ft,$ and $c=2\mathrm{.}30ft.$ A hole with diameter $d=0\mathrm{.}600ft$ is centered at

$(1\mathrm{.}04,0\mathrm{.}600)$

Figure

$4\mathrm{.}00$ in tall cone. The interior height of the cone is $3\mathrm{.}60$ in$.$ The cone has an exterior radius of $1\mathrm{.}25$ in and an interior radius of $1\mathrm{.}10$ in$.$ The scoop of ice cream sits on the cone's interior radius and extends into the

cone some distance. Find the $\frac{?}{\text{b}\text{a}\text{r}}(z)$ centroid for the cone $($the scoop of ice cream and the cone$).$

Express your answer numerically in inches to three significant figures.

View Available Hint$($s$)$

$\frac{?}{\text{b}\text{a}\text{r}}(z)=$

Previous Answers

Correct

Part E

The specific weight of the cone and scoop of ice cream are ${}_{\text{c}\text{o}\text{n}\text{e}}=10\mathrm{.}0l\frac{b}{f}{t}^3$ and ${}_{\text{i}\text{c}\text{e}}$ cream $=45\mathrm{.}0l\frac{b}{f}{t}^3,$ respectively. What is $\frac{?}{\text{b}\text{a}\text{r}}(z),$ the location of the center of gravity of the cone $($i$.$e$.,$ the cone and scoop of ice

cream$)?$

Express your answer numerically in feet to three significant figures.

View Available Hint$($s$)$

Part F Complete previous part$($s$)$