Our Discord hit 10K members! 🎉 Meet students and ask top educators your questions.Join Here!

Like

Report

WZ
Numerade Educator

Like

Report

Problem 39 Easy Difficulty

Find the volume of the described solid $S .$
The base of $S$ is an elliptical region with boundary curve
$9 x^{2}+4 y^{2}=36 .$ Cross-sections perpendicular to the $x$ -axis
are isosceles right triangles with hypotenuse in the base.

Answer

$$
24
$$

Discussion

You must be signed in to discuss.

Video Transcript

{'transcript': "The problem is behind the volume of described the solid ice The face of eyes is dialectic region with under a curve, I exclaimed, Pass or why squareness? They caught you. That is things trust sections, perpendicular vectors, X axis A selfless right Triangles always have pattern news in the base. So first we did not. Teo area ofthe cross section is a ax. Your axe Is that this test between original point to the cross section. Then when you two compute area ofthe cross section the phone and has a less right tangos If you have a hi part in years too, return to Hamsa now Cats graph here tohave pattern use of the trust section Hey, two times through City six minus nine x squired Oh, what for? So we have a culture tough to Tom's into negative six minus nine exploiter on the four says they had cross section area of the cross section. This is equal to one half a squire. This's don't you thirty six minus nine x squared or four. Then the volume of the solid be caught your two times that into girl from zero three Ajax. Yes. So this's equal to two halves into girl from zero to three. Thirty six minus nine x squared. Four. The Axe This is the cultural half. Thirty six acts minus Reax Cube from zero to three. The author is twenty seven over too."}

WZ
Top Calculus 2 / BC Educators
Catherine R.

Missouri State University

Anna Marie V.

Campbell University

Heather Z.

Oregon State University

Kayleah T.

Harvey Mudd College