find volume 26. The wedge cut from the cylinder x2 + y? = 1 by the planes z = -y and z = 0

Q: B) Show that V=367 is the volume of a sphere of radius 3 by using spherical coordinates.

A:

Q: 2. Find the volume of the wedge cut from the cylinder r? + y? = 1 by the planes z = -y and z = 0.

A: Given the wedge cut from the cylinder x2+y2=1 by the planes z=-y and z=0.

Q: Consider the parallelepiped with adjacent edges u = 5i + 2j + k v=i+j+ 7k w = i + 9j + 5k Find the…

A: Given, u=5i+2j+k,v=i+j+7k,w=i+9j+5k.

Q: Find the volume of the solid that lies under the hyperbolic paraboloid z=3y^(2)−x^(2)+4 and above…

A: The volume of the solid is determined by

Q: Find the volume of the paraboloid, z = 9 - x² - y², that lies inside the cylinder x² + y² = 4.

A: It is seen that the paraboloid and cylinder both are extended upto negetive infinity of along z…

Q: Consider the parallelepiped with adjacent edges u = 5i + 2j + k v = i+j+ 7k w = i + 8j + 2k %| Find…

A: The volume of the parallelepiped is 253

Q: Find the volume of the tetrahedron bounded by the plane z=4-4x-2y and the coordinate planes. I

A:

Q: Find the volume of the solid enclosed by the paraboloid z = 4 + x2 + (y – 2)2 and the planes z = 1,…

A:

Q: In isosceles trapezoid WXYZ with bases ZY and WX, ZY = 8, YX = 10, and WX = 20. Find height h (the…

A: Given  The  WXYZ  is isosceles trapezoid  with bases ZY and WX .  Here ZY =8  , YX =10  and WX =20

Q: Find the "volume" of the four-dimensional pyramid bounded by w +x+ y+z-1=0 and the coordinate planes…

A: The volume of the four dimensional pyramid is given by, V=∫v1 dv   =∫dzdydxdw. The boundaries are…

Q: Consider the parallelepiped with adjacent edges u = 4i + 6j + k v = i+j+ 9k w = i+ 3j + 7k Find the…

A:

Q: Consider the parallelepiped with adjacent edges u = 3i + 3j + k v = i+j+ 8k w = i+ 8j + 4k Find the…

A:

Q: By double integral, find the volume of the solid enclosed by a paraboloid x + 2y2 + z = 16, the…

A:

Q: Find the volume of the solid that lies under the hyperbolic paraboloid  z = 3y2 − x2 + 2  and above…

A: Please see the explanation below

Q: Among all rectangular solids defined by the inequalities 0≤x≤a, 0≤y≤ b, 0≤z≤ 1, find the one for…

A:

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

A:

Q: Find the enclosed by. volume r= 2cos & x* +y+2²= 4. %3D

A:

Q: Consider the parallelepiped with adjacent edges u = 6i + 6j + k v = i+j+7k w = i+ 4j + 3k Find the…

A:

Q: Consider the parallelepiped with adjacent edges Find the volume. u = 2i + 7j + k v=i+j+7k w = i +4j…

A:

Q: Find the volume of the parallelepiped with adjacent edges t = 3j – 4j – 6k, u = 3i – 7j – 7k and v =…

A:

Q: Consider the paraboloid z = 1- ² – y?. Find the volume of the region between this surface and the ry…

A: According to the problem,. we have

Q: 4. If M is a centroid of triangle WOR and WM = 16, what is WX? %3D W Y M R

A: centroid:- i). It is the intersection point of all the medians of a triangle. ii). It divides the…

Q: 3. Find the volume of a solid enclosed by the parabolic cylinder y = x², the planes z = 0 and y +z =…

A:

Q: If the region that lies inside the cardioid r = 1+ cose and outside the cirele r = 1 is the base of…

A:

Q: ded above by surface z = 10 – x2, bou e planes y = 0 and y = 3.

A:

Q: If the region that lies inside the cardioid r = 1+ cos 0 and outside the cirele r = 1 is the base of…

A:

Q: Consider the parallelepiped with adjacent edges u = 7i + 3j + k v = i+j+ 7k w = i+ 5j + 7k Find the…

A:

Q: SSx x dA; R is the portion of the disk x +y s 16 in the second quadrart

A: According to the given information, it is required to find the value of the given integral.

Q: If the area bounded by the x-axis, the lines x=5 and y=4, and the parabola y^2=-2x+4 is revolved…

A:

Q: Find the area of the band cut from the paraboloid x² + y² – z = 0 by the planes z = 2 and z = 6.…

A: Given equation is, x2+y2 = z Band cut from the given paraboloid by the planes z = 2; z = 6 Area of…

Q: Interpret the volume below the surface z = x +y?, above the plane z = 0, and inside the cylinder x'…

A: The given problem is to find the volume of the region below the surface paraboloid z=x2+y2 above the…

Q: Consider the parallelepiped with adjacent edges u = 4i + 6j + k v = i +j+ 9k w = i + 7j + 6k Find…

A: Given; u=4i+6j+k , v=i+j+9k , w=i+7j+6k Volume (V)=?

Q: Find the volume of the largest box of the type shown in the figure, with one corner at the origin…

A: The volume of the box with one point at origin and another point at x,y,z is given by V=xyz. We want…

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: Find the volume of the largest closed rectangular box in the first octant having three faces in the…

A:

Q: (a) COMPUTE the dimensions of the rectangular box of maximum volume that can be x² + y? + z? = 4.…

A: Since you have posted multiple questions, we will solve only first question for you. To get…

Q: (b) Evaluate SSI, zdV, where D is the solid tetrahedron bounded by the four planes x = 0, y = 0,z =…

A:

Q: Consider the parallelepiped with adjacent edges u = 9i + 7j + k v = i +j+ 6k w = i+ 9j + 4k Find the…

A: We can find the volume as below

Q: Find the volume of the pyramid with the base in the plane z= -5 and the Sides formed by the three…

A: To find the volume of the pyramid

Q: Find the volume of the solid that lies under the elliptical paraboloid z = 2x2 + y? +4 and above the…

A: Given, z=2x2+y2+4 To find Volume of Solid

Q: Find the volume of the solid that lies under the hyperbolic paraboloid z=3y2−x2+2z=3y2−x2+2 and…

A: To find the volume of the solid the lies under the below hyperbolic paraboloid and above the…

Q: 1) Calculate a)be the volume of the solid below the paraboloid 2+x²+(y-2)² and above the rectangle…

A: In this question, we find the volume of the solid bounded by paraboloid and base is a rectangle. we…

Q: Consider the parallelepiped with adjacent edges u = 3i + 2j +k v = i+j+4k w =i+6j + 2k Find the…

A:

Q: Find the volume of the solid enclosed by the paraboloid z = 5 + x + (y - 2)2 and the planes z = 1, x…

A:

Q: Find the volume of the largest box, with one corner at the origin and the opposite corner at a point…

A:

Q: If M is a centroid of triangle WOR and YR = 8, what is the length of WR? %3D W M R O 4 0 8 O 16 O…

A:

Q: Consider the parallelepiped with adjacent edges u = 5i + 7j + k v = i+j+2k w = i+ 9j + 2k Find the…

A:

Q: The volume of the tetrahedron bounded by the coordinate planes and the plane x+y+z=3 is O a. 4 3 O…

A: If we have a plane of the form x/a + y/b + z/c = 1 then x intercept at (a,0,0) , y intercept at…

Q: The volume of the tetrahedron bounded by the plane * ++ = :1, {a, b, c > 0} and the coordinate a…

A: Volume of the figure will be given by integral - V = ∫∫∫dzdydxLet's find limits of z,y and x - Given…