Find the volume of the portion of the ball æ² + y² + z² < 1 lying above the plane z = 3/5. (I would use cylindrical coordinates for this, although spherical coordinates can work too.) %3D

Q: Determine the volume of the solid inside the sphere x? + y² + 2² = 9 and outside the cylinder x² +…

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Q: Using spherical coordinates, determine the volume of the solid that is above the z=2√3 plane and…

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Q: Using spherical coordinates, the volume of the solid inside the sphere x+y+z -9 and above the plane…

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Q: The base of a solid is the region bounded by the ellipse 4x +9y = 36. Find the volume of the solid…

A: a Given ellipse equation,4x2+9y2=36y2=4-49x2

Q: the volume of the solid B that lies above the cone z = √3x² + 3y2 and below the sphere x² + y² + z²…

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Q: Use cylindrical coordinates to find the volume of the solid enclosed by the paraboloid z = x2 + y?…

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Q: The object shown in the figure is axially symmetric and its curved surface is described in…

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Q: Find, using spherical coordinates, the volume of the solid enclosed by the sphere x2 + y? + z2 = 9…

A: Here is the solution of the given problem. Volume bounded by the sphere and the plane z=2

Q: Consider the solid generated by the surfaces in the 1st octant ?+y?+zZ =4 y?+2 = 2 Find the triple…

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Q: Using spherical coordinates, determine the volume of the solid that is above the z=2 v3 plane and…

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Q: 2. Use cylindrical coordinates to find the volume of the solid that is below the paraboloid z = 2-x…

A: We have to find the volume of the solid formed by two paraboloids using cylindrical coordinates.

Q: The object shown in the figure is axially symmetric and its curved surface is described in…

A: The given problem is to find the volume of the given surface described in the cylindrical…

Q: Use spherical coordinates to find the volume of the solid enclosed by the sphere x2 + y² + z2 = z =…

A: Using spherical coordinates: x=r cosϕ sinθy=r sinϕ sinθz=r cosθwhere:dx dy dz=r2sinθ dr dϕ…

Q: Using spherical coordinates, the volume of the solid inside the sphere x+y+z? -9 and above the plane…

A: Consider the given information,

Q: 5. Using the Spherical Coordinates find the volume of a solid within the sphere x² + y +z? =9 ,…

A: The given data: The equation of sphere is: x2+y2+z2=9 The equation of cone is: z=x2+y2 The solid is…

Q: The object shown in the figure is axially symmetric and its curved surface is described in…

A: Given:r = 4-13z    for   0≤z≤12.

Q: The base of a solid is the region bounded by the ellipse 4x² + 9y? 36. Find %3D the volume of the…

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Q: Use cylindrical coordinates to find the volume of the solid enclosed by the paraboloid z = x + y²…

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Q: Use cylindrical coordinates to find the volume of the solid that lies between the paraboloid z = x²…

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Q: Use spherical coordinates to find the volume of the solid bounded above by the sphere p = 2 /2 and…

A: First we have to set up a triple integral for the volume of the solid region bounded above by the…

Q: By using spherical coordinates and explanatory diagram ans is 64tk. Find the mass of the solid that…

A: As the distance between a point and the xy-plane is the absolute value of the z-coordinate of that…

Q: Use spherical coordinates to find the volume of the solid enclosed by the sphere x2 + y² + z² = = 0…

A: Given :  x²+y²+z²=4a². And the planes z=0 and z=a   We have to find the volume of the solid using…

Q: the volume of the solid B that lies above the cone z = √√x² + y² and below the sphere x² + y² + z² =…

A: We will use relation between cartesian and spherical co ordinate to set up triple integral for…

Q: 2. Use spherical coordinates to find the volume of the solid that lies above the cone z = v3Vr?² +…

A: Volume

Q: Use cylindrical coordinates to find the volume of the solid enclosed by the paraboloid z = x+y and…

A: This question is related to definite integration and coordinate system,  we will solve it using…

Q: Express the volume of the solid lying inside the sphere r2 + y? + 22 8 and outside the cylinder ? +…

A: Given:  Solid lying in a sphere x2+y2+z2=16 and outside the cylinder  x2+y2=2

Q: What is the volume of the following region, described in spherical coordinates? 1<p<9, 0 s

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Q: Express the volume of the solid lying inside the sphere a? + y2 + 22 = 36 and outside the cylinder…

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Q: Calculate the volume of the sphere x^2 + y^2 + z^2 = a^2, using both spherical and cylindrical…

A: Given the equation of the sphere is       x2+y2+z2 = a2 ,where a is the radius of the sphere.

Q: 160. Use the method of shells to find the volume of an ellipsoid (x²la?) + (y²lb²) = 1 rotated…

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Q: Use spherical coordinates to find the volume of a solid that lies above the zy- plane, outside the…

A: The given 2 spheres are: x2+y2+z2=4…1x2+y2+z2=2z…2 The plane of intersection of the 2 spheres: To…

Q: The object shown in the figure is axially symmetric and its curved surface is described in…

A: The given problem is to find the volume of the given surface described in cylindrical coordinates…

Q: 4. Find the volume of the solid region which lies inside the sphere x2 + y? + z² = 4z and outside of…

A: This question is about application of derivative

Q: - Cone o Find the volume of the solid region above the cone (zv3)" (z 2 0) and below the sphere x² +…

A: Using spherical coordinates,

Q: b) Using Spherical Coordinates, find the volume of the solid G bounded above b x² + y? + z? = 25 and…

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Q: Use spherical coordinates. Find the volume of the solid that lies within the sphere x2 + y2 + z² =…

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Q: Use cylindrical coordinates to find the volume of the solid. Solid bounded by the graphs of the…

A: Volume is π We just convert this into cylindrical coordinate dz ,dr and dθ

Q: The volume in spherical coordinate- for the solid that lies within the sphere p= 2 above the…

A: Please refer to the image below

Q: Find the volume of the solid that lies within both the cylinder x2 + y2 = 9 and the sphere x2 + y2 +…

A: Given: The cylinder x2 + y2 = 9 and the sphere x2 + y2 + z2 = 16.   Calculation: Let x=rcosθ,…

Q: 2. Use cylindrical coordinates to find the volume of the solid that is below the paraboloid z = 2-x²…

A: Cylindrical coordinate system x=rcosθ, y=rsinθ , z=zdV=r dz dr dθ        (dV = dx dy dz) first we…

Q: the volume of the solid that lies above the cone z = √√3x² + 3y² and below the sphere x² + y² + z² =…

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Q: What is the volume of the following region, described in spherical coordinates? 1<p< 9, 2' 4

A: Given- 1≤ρ≤9, 0≤θ≤90° , π6≤ϕ≤π4. To Find- The volume of the above region which is described in…

Q: Use cylindrical or spherical coordinates, whichever seems more appropriate.Find the volume V of the…

A: Given

Q: Use spherical coordinates to find the volume of the solid. The solid between the spheres x² + y² +…

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Q: Compute the volume of W using cylindrical coordinates.

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Q: Use spherical coordinates to calculate the volume of the region outside the sphere p = 2 cos Ø and…

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