Answered

Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Our platform connects you with professionals ready to provide precise answers to all your questions in various areas of expertise. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

Let R be the region bounded by the following curves. Use the method of your choice to find the volume of the solid generated when R is revolved about the​ x-axis. y = 6x^2 & y = 28 - x^2

Sagot :

batolisis

Answer:

V = 7168π /3  

Step-by-step explanation:

R ( region ) bounded by curves ; y = 6x^2 , y = 28 - x^2

determine the volume of the solid generated when R is revolved about the x-axis

 Volume = 7168π /3    

attached below is the remaining part of the detailed solution to the problem above

Given that :

y = 6x^2----- ( 1 )   ,  y = 28 - x^2 ------ ( 2 )

equate  ( 1 ) and ( 2 )

6x^2 = 28 - x^2

7x^2 = 28

∴ x = √4 = ± 2

View image batolisis
Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.