Final answer:
To find the volume of the region under the curve y = √(36 - x²) from x = 0 to x = 3, set up an integral using the formula for finding the volume of a solid of revolution: V = ∫03 π(f(x))² dx. Evaluate the integral to find the volume.
Step-by-step explanation:
The given question asks for the volume of the region under the curve y = √(36 - x²) from x = 0 to x = 3. To find this volume, we can set up an integral using the formula for finding the volume of a solid of revolution. The integral would be:
V = ∫03 π(f(x))² dx
where f(x) is the function under the curve. In this case, f(x) = √(36 - x²).
Evaluating this integral will give the volume of the region.