Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

Evaluating triple integrals: Each of the triple integrals that follows represents the volume of a solid. Sketch the solid and evaluate the integral.

02π04r4rdzdrdθ

Short Answer

Expert verified

02π04r4rdzdrdθ=643π

Step by step solution

01

Given

We have to find the volume by using the triple integral.

02π04r4rdzdrdθ
02

Evaluate the integral

V=02π04r4rdzdrdθV=02π04r(4-r)drdθV=02π4r22-r3304dθV=02π32-643dθV=32302πdθV=323(2π-0)V=643πcubicunits

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Study anywhere. Anytime. Across all devices.

Sign-up for free