Good Afternoon. My physics class did these problems during lecture. Regardless of if we understood how to do them, we were given the answers. My goal is to understand set by step how to complete these problems. I$\text{'}$m not looking for answers, but for guidance to understand how to correctly complete on my own. Please help as I study for my final exam!

Unit $3$ section $2$ problems $$ rotational quantities

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What is the inertia of a $6\mathrm{.}2$ kg bowling ball $($of radius $28$ cm$)$ as it spins down the bowling alley?

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A batter swings at a pitch using a baseball bat with a mass of $952$ g and a length of $105$ cm$).$ What is the bat$$s inertia?

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$3$ A $1\mathrm{.}20$ kg disk $($radius $=10\mathrm{.}0$ cm$)$ is rolling at a rate of $1\mathrm{.}41$ m$/$s$.$ Find the total

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$4$ If a sphere rolls down an incline from a height of $25\mathrm{.}4$ cm$,$ find its velocity at the bottom of the incline.

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$5$ Given the vectors$,$ find the cross product.

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$6.$ Find the angle between these vectors.

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$7.$ A $45$ g disk with a $12$ cm diameter slows down from $15$ rad$/$s to $11$ rad$/$s$.$ Find the

$$ work done on the disk to cause this action.

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$8$ A light rope wrapped around a disk$-$shaped pulley is pulled with a force of

$0\mathrm{.}53$ N$.$ Find the angular acceleration of the pulley, given that its mass is $1\mathrm{.}3$ kg and radius$$ is $11$ cm$.$

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$9$ Suppose our Sun $($which revolves once every $25$ days$)$ were to collapse to a radius

$$of $20\mathrm{.}0$ km$.$ What would be the new rotation speed $($in rev$/$s$)?$

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$10.$ A non$-$rotating rod $($of mass M and length L$)$ is dropped onto a rotating disk $($of mass M and radius r $=(1)/(2)$ L$)$ spinning at a rate of $1\mathrm{.}0$ rev$/$s$.$ If an inelastic collision occurs, find an expression for the combined angular speed.