Like

Report

(a) Set up an integral for the volume of a solid torus (the

donut-shaped solid shown in the figure) with radii $r$

and $R .$

(b) By interpreting the integral as an area, find the volume

of the torus.

$$

V=2 \pi^{2} r^{2} R

$$

Applications of Integration

You must be signed in to discuss.

Numerade Educator

Missouri State University

Idaho State University

Boston College

{'transcript': "the problem This site up integral for the volume of a solid tourists Way's biters are and kept all our had to be interpreting integral as an area Find the volume of the towers Hey, but Paris is obtained by rotating to circle X minus Are squire asked why square is the chapel our square about why axis and we can see for each cross section. So if I didn't notice the distance between this cross section on X axis is why then Cross section is a washer and it's in your riders Is ico Chu Yeah, right You Why it's the culture are minus You're tough Ah square minus y score and outer riders ask why is the coach you are plus beautif r squared minus y square Then the area of the transaction is equal Chu here I wrote a why it's equal to high After all I squire minus you are squired. Thiss is equal to high times Ah, square minus class is too, uh negative. Our squire minus y square us are square months. Why square on the minus? Ah, square class minus our square minus two are curative Oscar lawyer minus y squire, US Squire I miss y squared. So this is control. Hi. Times full are beautif are square minus y score Then the volume of the towers be if you continue to tams and to grow from zero to from zero to this part This is smaller on DH. A wife, You wise. This is all pie R Ridge, If our squire minus y square. Jeez, why? This is a great pie. Are you into girl from zero toe? Are you two? Have a squire minus y square. Do you want for part B? By interpreting into your allies on area, Find the walliams of the towers. So look at this Integral. This integral is equal to one cow tow area off one cultures circle. Where's writers are So this is You can't use force. Hi. Our score. So Wei is to eight. Pi r Time's a force pi r squared. The answer is too high square. Have to our times Last line"}