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Deck 12: Extension G: Multiple Integrals

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Question
Use spherical coordinates to find the volume of the solid that lies within the sphere Use spherical coordinates to find the volume of the solid that lies within the sphere above the xy-plane and below the cone Round the answer to two decimal places. <div style=padding-top: 35px> above the xy-plane and below the cone Use spherical coordinates to find the volume of the solid that lies within the sphere above the xy-plane and below the cone Round the answer to two decimal places. <div style=padding-top: 35px> Round the answer to two decimal places.
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Question
Use spherical coordinates to find the moment of inertia of the solid homogeneous hemisphere of radius <strong>Use spherical coordinates to find the moment of inertia of the solid homogeneous hemisphere of radius and density 1 about a diameter of its base.</strong> A) 195.22 B) C) 205.13 D) 198.08 E) 213.5 <div style=padding-top: 35px> and density 1 about a diameter of its base.

A) 195.22
B) <strong>Use spherical coordinates to find the moment of inertia of the solid homogeneous hemisphere of radius and density 1 about a diameter of its base.</strong> A) 195.22 B) C) 205.13 D) 198.08 E) 213.5 <div style=padding-top: 35px>
C) 205.13
D) 198.08
E) 213.5
Question
Find the mass of a solid hemisphere of radius 5 if the mass density at any point on the solid is directly proportional to its distance from the base of the solid.

A) <strong>Find the mass of a solid hemisphere of radius 5 if the mass density at any point on the solid is directly proportional to its distance from the base of the solid.</strong> A) k B) k C) k D) k <div style=padding-top: 35px> k <strong>Find the mass of a solid hemisphere of radius 5 if the mass density at any point on the solid is directly proportional to its distance from the base of the solid.</strong> A) k B) k C) k D) k <div style=padding-top: 35px>
B) <strong>Find the mass of a solid hemisphere of radius 5 if the mass density at any point on the solid is directly proportional to its distance from the base of the solid.</strong> A) k B) k C) k D) k <div style=padding-top: 35px> k <strong>Find the mass of a solid hemisphere of radius 5 if the mass density at any point on the solid is directly proportional to its distance from the base of the solid.</strong> A) k B) k C) k D) k <div style=padding-top: 35px>
C) <strong>Find the mass of a solid hemisphere of radius 5 if the mass density at any point on the solid is directly proportional to its distance from the base of the solid.</strong> A) k B) k C) k D) k <div style=padding-top: 35px> k <strong>Find the mass of a solid hemisphere of radius 5 if the mass density at any point on the solid is directly proportional to its distance from the base of the solid.</strong> A) k B) k C) k D) k <div style=padding-top: 35px>
D) <strong>Find the mass of a solid hemisphere of radius 5 if the mass density at any point on the solid is directly proportional to its distance from the base of the solid.</strong> A) k B) k C) k D) k <div style=padding-top: 35px> k <strong>Find the mass of a solid hemisphere of radius 5 if the mass density at any point on the solid is directly proportional to its distance from the base of the solid.</strong> A) k B) k C) k D) k <div style=padding-top: 35px>
Question
Use spherical coordinates. Evaluate <strong>Use spherical coordinates. Evaluate ,where is the ball with center the origin and radius </strong> A) B) C) D) E) None of these <div style=padding-top: 35px> ,where <strong>Use spherical coordinates. Evaluate ,where is the ball with center the origin and radius </strong> A) B) C) D) E) None of these <div style=padding-top: 35px> is the ball with center the origin and radius <strong>Use spherical coordinates. Evaluate ,where is the ball with center the origin and radius </strong> A) B) C) D) E) None of these <div style=padding-top: 35px>

A) <strong>Use spherical coordinates. Evaluate ,where is the ball with center the origin and radius </strong> A) B) C) D) E) None of these <div style=padding-top: 35px>
B) <strong>Use spherical coordinates. Evaluate ,where is the ball with center the origin and radius </strong> A) B) C) D) E) None of these <div style=padding-top: 35px>
C) <strong>Use spherical coordinates. Evaluate ,where is the ball with center the origin and radius </strong> A) B) C) D) E) None of these <div style=padding-top: 35px>
D) <strong>Use spherical coordinates. Evaluate ,where is the ball with center the origin and radius </strong> A) B) C) D) E) None of these <div style=padding-top: 35px>
E) None of these
Question
Identify the surface with equation Identify the surface with equation <div style=padding-top: 35px>
Question
Identify the surface with equation Identify the surface with equation <div style=padding-top: 35px>
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Deck 12: Extension G: Multiple Integrals
1
Use spherical coordinates to find the volume of the solid that lies within the sphere Use spherical coordinates to find the volume of the solid that lies within the sphere above the xy-plane and below the cone Round the answer to two decimal places. above the xy-plane and below the cone Use spherical coordinates to find the volume of the solid that lies within the sphere above the xy-plane and below the cone Round the answer to two decimal places. Round the answer to two decimal places.
39.26
2
Use spherical coordinates to find the moment of inertia of the solid homogeneous hemisphere of radius <strong>Use spherical coordinates to find the moment of inertia of the solid homogeneous hemisphere of radius and density 1 about a diameter of its base.</strong> A) 195.22 B) C) 205.13 D) 198.08 E) 213.5 and density 1 about a diameter of its base.

A) 195.22
B) <strong>Use spherical coordinates to find the moment of inertia of the solid homogeneous hemisphere of radius and density 1 about a diameter of its base.</strong> A) 195.22 B) C) 205.13 D) 198.08 E) 213.5
C) 205.13
D) 198.08
E) 213.5
3
Find the mass of a solid hemisphere of radius 5 if the mass density at any point on the solid is directly proportional to its distance from the base of the solid.

A) <strong>Find the mass of a solid hemisphere of radius 5 if the mass density at any point on the solid is directly proportional to its distance from the base of the solid.</strong> A) k B) k C) k D) k k <strong>Find the mass of a solid hemisphere of radius 5 if the mass density at any point on the solid is directly proportional to its distance from the base of the solid.</strong> A) k B) k C) k D) k
B) <strong>Find the mass of a solid hemisphere of radius 5 if the mass density at any point on the solid is directly proportional to its distance from the base of the solid.</strong> A) k B) k C) k D) k k <strong>Find the mass of a solid hemisphere of radius 5 if the mass density at any point on the solid is directly proportional to its distance from the base of the solid.</strong> A) k B) k C) k D) k
C) <strong>Find the mass of a solid hemisphere of radius 5 if the mass density at any point on the solid is directly proportional to its distance from the base of the solid.</strong> A) k B) k C) k D) k k <strong>Find the mass of a solid hemisphere of radius 5 if the mass density at any point on the solid is directly proportional to its distance from the base of the solid.</strong> A) k B) k C) k D) k
D) <strong>Find the mass of a solid hemisphere of radius 5 if the mass density at any point on the solid is directly proportional to its distance from the base of the solid.</strong> A) k B) k C) k D) k k <strong>Find the mass of a solid hemisphere of radius 5 if the mass density at any point on the solid is directly proportional to its distance from the base of the solid.</strong> A) k B) k C) k D) k
k k k
4
Use spherical coordinates. Evaluate <strong>Use spherical coordinates. Evaluate ,where is the ball with center the origin and radius </strong> A) B) C) D) E) None of these ,where <strong>Use spherical coordinates. Evaluate ,where is the ball with center the origin and radius </strong> A) B) C) D) E) None of these is the ball with center the origin and radius <strong>Use spherical coordinates. Evaluate ,where is the ball with center the origin and radius </strong> A) B) C) D) E) None of these

A) <strong>Use spherical coordinates. Evaluate ,where is the ball with center the origin and radius </strong> A) B) C) D) E) None of these
B) <strong>Use spherical coordinates. Evaluate ,where is the ball with center the origin and radius </strong> A) B) C) D) E) None of these
C) <strong>Use spherical coordinates. Evaluate ,where is the ball with center the origin and radius </strong> A) B) C) D) E) None of these
D) <strong>Use spherical coordinates. Evaluate ,where is the ball with center the origin and radius </strong> A) B) C) D) E) None of these
E) None of these
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Identify the surface with equation Identify the surface with equation
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Identify the surface with equation Identify the surface with equation
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