Q3-Find the volume common by the plane x+y=a? & x*+z=a? ?

Q: 4. Find the volume of the region bounded above by the paraboloid z = x? + y? and below by the…

A: (4) Consider the provided question, According to the provided question, draw the graph of the given…

Q: 2) Calculate the volume of the solid bounded by the cone z² = x² + y? and the cylinder x² + y? = 4…

A: Solved below

Q: 3. Find the volume of the tetrahedron in the first octant that is bounded by the three coordinate…

A: Given the equation of the plane, z=5-2x-y  ⋯⋯(1) Rewriting equation (1), 2x+y+z=5  ⋯⋯(2) At z=0,…

Q: Q8-Find the volume in the first octant bounded by the plane x+z=1 & y+2z =2?

A: The solution is given as

Q: b) Find the volume of the solid enclosed between the cone z = hr² and the plane z = 2h.

A:

Q: Find the volume in the first octant under the plane x + y + z = 6 and inside the cylinders - 4- r?…

A:

Q: 25. Find the volume of the solid that is enclosed by the cone z = Vx² + y? and the sphere 22 + y? +…

A:

Q: Find the volume that is obtained by revolving the region about the r-axi 20 18+ 16+ 14+ 12+ 10+ y =…

A:

Q: Find the volume of the region above the xy-plane, inside the cone z 24 x2 + y2 and inside the…

A: The solution are next step

Q: 27. Find the volume of an ice cream cone bounded by the hemisphere z '8 – x² – y² and the cone z Va2…

A: Given hemisphere z=8-x2-y2 and cone z=x2+y2 The intersection of hemisphere and cone is given by…

Q: (a) Find the volume V of the wedge shown in the figure. Top: y + z = 1 Side:

A: In this question we will use basic of calculus i.e application of integration. We will use concept…

Q: Use the disk method to evaluate the volume of the solid formed by rotating the area between…

A: Given,      Interval [ 2, ∞)

Q: b) Find the volume of an inverted cone defined by: i. R< 2 and 0 <0 <"/3

A: the given question is taken from the calculus in which we have to find the volume of the cone so…

Q: Find the volume of the solid bounded by the circular cylinder x² + y? = 25, planes z = 1: : 0, z =…

A:

Q: Find the volume under the surface z 25 – x² – y? and above the plane z = 0.

A: Consider the given: z=25−x2−y2z=00=25−x2−y2x2+y2=25r2=25r=0 to 5,θ = 0 to 2π

Q: O Find the volume of revolution (either by shells or Liashers) when the region enclosed bu by…

A:

Q: Find the real number b such that the volume of solid B (r, +

A:

Q: Find the volume of the region enclosed by the cylinder x2 + y? = 2, the plane z – x+ y= 0 and the…

A: We have,

Q: Find the volume of the pyramid with base in the plane z = -1 and sides formed by the three planes y…

A: We need to evaluate volume.

Q: Q5) Find volume of body bounded by z? + y? + x? = 9.

A: Let's find.

Q: Find the volume of the solid cut from the cylinder x2 + y? = 25 by the planes z = 0 and x + z = 2.

A:

Q: Find the volume of S above the cone where z V + y and inside the sphere where a+ y? + 2 <9.

A: Let S be the region above the cone z=x2+y2 and inside the sphere x2+y2+z2≤9.

Q: 9. Find the volume of the solid wedge cut from the first octant, bounded by the three coordinate…

A:

Q: Find the volume of a solid enclosed by the parabolic cylinder y = x^2, the planes z = 0 and y + z =…

A:

Q: Find the volume of the region in the first octant enclosed by the cylinder x^2 +y^2 =4 and the plane…

A:

Q: 2. Find the volume of the region enclosed by the paraboloid z = x2 + y? and the plane z 2x.

A: Given paraboloid, z=x2+y2and the planez=2x To find the volume of region enclosed by the paraboloid…

Q: Q4) Find the volume of the region R, that cut from the cylinder x² + y² = 4, by planes: z = 0 and…

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 region above the xy-plane, inside the cone z = ; - V? + y? and inside the…

A:

Q: Find the volume of the solid cut from the cylinder x² + y? = 4 by the planes z = 0 and x +z = 6.

A:

Q: 7. Find the volume and centroid generated by revolving the given plane area about y^2=4x, x=4; about…

A: Given that - y2 = 4x, x = 4; about x = 4

Q: Find the volume inside the sphere (r = a) that lies between the cones ($ = n/3) and ($ = 2n/3) %3D…

A: A coordinate system is a convention that is used to represent a point uniquely using a set of…

Q: Determine the volume of the region that lies under the sphere x² + y² + z² = 4, above the plane z…

A: Given: Now,

Q: Find the volume of the region above the xy-plane, inside the cone z = 6 – Vx2 +y² and inside the…

A: Convert the region in parametric form.

Q: Find the volume of the region enclosed by the cylinder x2 + y? x² + y? + 4. = 2, the plane z – x +y=…

A: We have to find the volume of the given region.

Q: Calculate the volume of the solid bounded by the cone z? = x2 + y? and the cylinder x2 + y? = 4 %3D

A: Let's find.

Q: Find the volume of the region above the xy-plane, inside the cone z = 6 – Va² + y² and inside the…

A: Triple integral is used to integrate the function of three variable over the three-dimensional…

Q: 9. Find the volume of the solid in the first octant enclosed by the surface z = x? and the four…

A: Volume = ∫02∫03∫0x2dx dy dz                 =∫02dx∫03dy ∫0x2dz…

Q: 13. Find the volume of the region bounded by the cylinder r2 + y? = 2y and the planes z = 0 and x +…

A: Volume = 10π

Q: 9. Find the volume of the solid enclosed by the cone z = Vx? + y? and the plane z = 4.

A: we have to find the volume of the solid

Q: Find the volume of the region above the xy-plane, inside the cone z = 20 – Va2 + y? and inside the…

A:

Q: 6. What is the volume of the solid bounded by the surfaces x? + y? = 4 (cylinder), z = x + y…

A:

Q: The volume of the solid enclosed by the surface z = 1/y and the rectangle 2 <r<4, 1<y<e in the…

A: We use double integral to find the volume of the solid.

Q: Q5) Find volume of body bounded by z? + y2 + x2 9.

A: Given that - x²+y²+z²=9 =&gt; (x-0)²+(y-0)²+(z-0)²=3² Clearly which is a sphere with radius,r= 3…

Q: 13. Find the volume of the region bounded by the cylinder x? + y? x + y + z = 6. = 2y and the planes…

A: In cylindrical coordinates,               x = rcosθ ,      y =rsinθ    and     z=z The volume of…

Q: Find the volume of the region R lying below the plane z = 3 – 2y and above the paraboloid z = x2 +…

A:

Q: a) By using the cylindrical shells method, find the volume of the object generated when the area…

A: As Per Bartleby guidelines i can provide you only one answer.

Q: a) By using the cylindrical shells method, find the volume of the object generated when the area…

A:

Q: find volume 31. The region in the first octant bounded by the coordinate planes, the plane x + y =…

A: