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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' centrolds. An object is made from a unitorm piece of sheet metal. The object has dimensions of $a=1\mathrm{.}45ft,$ where $a$ is

the diameter of the semi$-$circle, $b=3\mathrm{.}70ft,$ and $c=2\mathrm{.}45ft.$ A hole with diameter $d=0\mathrm{.}750ft$ is centere at $(1\mathrm{.}13,0\mathrm{.}725).$

Figure $1012$

Express your answer numerically in feet squared to three significant figures.

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Part B

Find $\stackrel{}{x},$ the $x-$coordinate of the body's centroid. $($Eigure $1)$

Express your answer numerically in feet to three significant figures.$\text{'}$

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$q,$

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Correct

Part C

Find $\frac{?}{\text{b}\text{a}\text{r}}(y),$ the $y-$coordinate of the body's centroid. $($Figure $1)$

Express your answer numerically in feet to three significant figures.

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Part D

A single$-$scoop ice cream cone is a composite body made from a single scoop of ice cream placed into a cone. $($Figure $2)$ Assume that the scoop of ice cream is a sphere with radius $r=1\mathrm{.}34in$ that is placed into a $4\mathrm{.}00$ in tall cone. The interic A

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

and Express your answer numerically in inches to three significant figures.

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