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
