Find the volume bounded by the paraboloid z = 1+3x² +3y² and the plane z = 10 in the first octant.

Q: Find the volume between the cone x = √y² + z² and the sphere x² + y² + z² = 4. volume -

A:

Q: Find the volume of the region enclosed by the paraboloid (x-1)²+y? =z and the plane 2x+z=2.

A:

Q: Find the volume of the solid in the first octant by bounded by the plane 3x +42 = 12, y = 2 and the…

A: Volume bounded by thefirst octent

Q: Find the volume of the solid enclosed by the paraboloid z = 3x 2 + 5y2 and the planes x = 0, y = 3,…

A: The solid is enclosed by the paraboloid z=3x2+5y2 and the planes x=0, y=3, y=x, z=0. So,…

Q: Evaluate f (x² + y² +2²) do over the portion of the cone z = √x² + y²,0 ≤z≤4.

A: To evaluate the integral ∬(x2+y2+z2)dσ over the portion of the cone z=x2+y2 , 0≤z≤4 Here first we…