Answer:
V = 36Π cubic Centimetres
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Volume of the solid
The Volume of the solid formed by revolving the region bounded by the curve y = f(x) and rotated around the x-axis defined by
<u><em>Step(ii):-</em></u>
Given two curves are y = x² and y = 9
The point of intersection of two curves
y = x²...(i)
and y = 9 ...(ii)
Equating both equations , we get
x² - 9 =0
⇒ x² - 3² =0
⇒ (x+3)(x-3) =0
⇒ x+3=0 and x-3=0
x = 3 ⇒ y = 9
x = -3 ⇒y = 9
The point of intersection ( -3,9) and (3,9)
<u><em>Step(iii):-</em></u>
<em> </em>
<em>The limits x- varies from -3 to 3</em>
<em> </em>
V = π ( |-36| = 36Π cubic Centimetres
<u><em> Final answer:-</em></u>
<u><em>The volume of the solid</em></u>
V = π ( |-36| = 36Π cubic Centimetres