Explanation Given: The value of radius r is 6 and centre is C ( 3 , − 1 , 0 ) . Calculation: The formula to evaluate the equation of a sphere with radius r and centre C ( h , k , l ) is, ( x − h ) 2 + ( y − k ) 2 + ( z − l ) 2 = r 2 Where, h, k, l are the coordinates of the centre of the sphere. Substitute 3 for h, − 1 for k, 0 for l and 6 for r in the above formula

Bundle: College Algebra, 7th + WebAssign Printed Access Card for Stewart/Redlin/Watson's College Algebra, 7th Edition, Single-Term

7th Edition

ISBN: 9781305618152

Author: Lothar Redlin, Saleem Watson, James Stewart

Publisher: CENGAGE C

See similar textbooks

Concept explainers

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the se…

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integratio…

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects th…

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.

Videos

Question

Chapter 9.3, Problem 13E

To determine

To Find: The equation of a sphere whose radius r is 6 and centre is C(3,−1,0) .

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 9.3, Problem 12E

Chapter 9.3, Problem 14E

Students have asked these similar questions

Find the derivative of the function. y=8√√x+5x 6 7

Explain how to solve all solutions of y"(x)+ay'(x)+by(x)=0 when the Characteristic Equation λ2+aλ+b=0 of the second-order linear differential equation y"(x)+ay'(x)+by(x)=0 has no real roots. Please distinguish between the two methods of "using real numbers to solve the space base" and "using complex numbers to solve the space base" and explain the key points respectively.

Use the circle to find exact value of each trigonometric function (number 16)

Chapter 9 Solutions

Bundle: College Algebra, 7th + WebAssign Printed Access Card for Stewart/Redlin/Watson's College Algebra, 7th Edition, Single-Term

Ch. 9.1 - (a) A vector in the plane is a line segment with...Ch. 9.1 - (a) The length of a vector w = a1, a2 is | w | =...Ch. 9.1 - Sketching Vectors Sketch the vector indicated....Ch. 9.1 - Sketching Vectors Sketch the vector indicated....Ch. 9.1 - Prob. 5E Ch. 9.1 - Sketching Vectors Sketch the vector indicated....Ch. 9.1 - Prob. 7E Ch. 9.1 - Sketching Vectors Sketch the vector indicated....Ch. 9.1 - Prob. 9E Ch. 9.1 - Prob. 10E

Ch. 9.1 - Prob. 11E Ch. 9.1 - Prob. 12E Ch. 9.1 - Prob. 13E Ch. 9.1 - Prob. 14E Ch. 9.1 - Prob. 15E Ch. 9.1 - Prob. 16E Ch. 9.1 - Prob. 17E Ch. 9.1 - Prob. 18E Ch. 9.1 - Prob. 19E Ch. 9.1 - Prob. 20E Ch. 9.1 - Prob. 21E Ch. 9.1 - Sketching Vectors Sketch the given vector with...Ch. 9.1 - Prob. 23E Ch. 9.1 - Prob. 24E Ch. 9.1 - Prob. 25E Ch. 9.1 - Prob. 26E Ch. 9.1 - Writing Vectors in Terms of i and j Write the...Ch. 9.1 - Prob. 28E Ch. 9.1 - Prob. 29E Ch. 9.1 - Writing Vectors in Terms of i and j Write the...Ch. 9.1 - Operations with Vectors Find 2u, 3v, u + v, and 3u...Ch. 9.1 - Prob. 32E Ch. 9.1 - Prob. 33E Ch. 9.1 - Prob. 34E Ch. 9.1 - Prob. 35E Ch. 9.1 - Prob. 36E Ch. 9.1 - Prob. 37E Ch. 9.1 - Prob. 38E Ch. 9.1 - Prob. 39E Ch. 9.1 - Prob. 40E Ch. 9.1 - Prob. 41E Ch. 9.1 - Prob. 42E Ch. 9.1 - Prob. 43E Ch. 9.1 - Prob. 44E Ch. 9.1 - Prob. 45E Ch. 9.1 - Prob. 46E Ch. 9.1 - Prob. 47E Ch. 9.1 - Prob. 48E Ch. 9.1 - Prob. 49E Ch. 9.1 - Prob. 50E Ch. 9.1 - Prob. 51E Ch. 9.1 - Prob. 52E Ch. 9.1 - Prob. 53E Ch. 9.1 - Prob. 54E Ch. 9.1 - Velocity A river flows due south at 3 mi/h. A...Ch. 9.1 - Velocity Suppose that in Exercise 55 the current...Ch. 9.1 - Velocity The speed of an airplane is 300 mi/h...Ch. 9.1 - Velocity A migrating salmon heads in the direction...Ch. 9.1 - Prob. 59E Ch. 9.1 - Prob. 60E Ch. 9.1 - True Velocity of a Jet Find the true speed and...Ch. 9.1 - True Velocity of a Jet In what direction should...Ch. 9.1 - Prob. 63E Ch. 9.1 - Velocity of a Boat The boater in Exercise 63 wants...Ch. 9.1 - Prob. 65E Ch. 9.1 - Velocity A woman walks due west on the deck of an...Ch. 9.1 - Equilibrium of Forces The forces F1, F2, , Fn...Ch. 9.1 - Prob. 68E Ch. 9.1 - Prob. 69E Ch. 9.1 - Equilibrium of Forces The forces F1, F2, , Fn...Ch. 9.1 - Equilibrium of Forces The forces F1, F2, , Fn...Ch. 9.1 - Equilibrium of Forces The forces F1, F2, , Fn...Ch. 9.1 - Equilibrium of Tensions A 100-lb weight hangs from...Ch. 9.1 - Equilibrium of Tensions The cranes in the figure...Ch. 9.1 - DISCUSS: Vectors That Form a Polygon Suppose that...Ch. 9.2 - Prob. 1E Ch. 9.2 - Prob. 2E Ch. 9.2 - Prob. 3E Ch. 9.2 - Prob. 4E Ch. 9.2 - Prob. 5E Ch. 9.2 - Prob. 6E Ch. 9.2 - Prob. 7E Ch. 9.2 - Prob. 8E Ch. 9.2 - Prob. 9E Ch. 9.2 - Prob. 10E Ch. 9.2 - Prob. 11E Ch. 9.2 - Prob. 12E Ch. 9.2 - Prob. 13E Ch. 9.2 - Prob. 14E Ch. 9.2 - Prob. 15E Ch. 9.2 - Prob. 16E Ch. 9.2 - Prob. 17E Ch. 9.2 - Prob. 18E Ch. 9.2 - Prob. 19E Ch. 9.2 - Perpendicular Vectors? Determine whether the given...Ch. 9.2 - Dot Products Find the indicated quantity, assuming...Ch. 9.2 - Prob. 22E Ch. 9.2 - Prob. 23E Ch. 9.2 - Dot Products Find the indicated quantity, assuming...Ch. 9.2 - Prob. 25E Ch. 9.2 - Prob. 26E Ch. 9.2 - Prob. 27E Ch. 9.2 - Prob. 28E Ch. 9.2 - Prob. 29E Ch. 9.2 - Prob. 30E Ch. 9.2 - Prob. 31E Ch. 9.2 - Prob. 32E Ch. 9.2 - Prob. 33E Ch. 9.2 - Prob. 34E Ch. 9.2 - Prob. 35E Ch. 9.2 - Prob. 36E Ch. 9.2 - Prob. 37E Ch. 9.2 - Prob. 38E Ch. 9.2 - Prob. 39E Ch. 9.2 - Prob. 40E Ch. 9.2 - Prob. 41E Ch. 9.2 - Prob. 42E Ch. 9.2 - Projection Show that projv u and u projv u are...Ch. 9.2 - Projection Evaluate v projv u.Ch. 9.2 - Prob. 45E Ch. 9.2 - Prob. 46E Ch. 9.2 - Prob. 47E Ch. 9.2 - Work A car drives 500 ft on a road that is...Ch. 9.2 - Prob. 49E Ch. 9.2 - Prob. 50E Ch. 9.2 - Prob. 51E Ch. 9.2 - Prob. 52E Ch. 9.2 - Prob. 53E Ch. 9.3 - The distance between the point P(x1, y1, z1) and...Ch. 9.3 - Prob. 3E Ch. 9.3 - Prob. 4E Ch. 9.3 - Prob. 5E Ch. 9.3 - Prob. 6E Ch. 9.3 - Prob. 7E Ch. 9.3 - Prob. 8E Ch. 9.3 - Prob. 9E Ch. 9.3 - Prob. 10E Ch. 9.3 - Prob. 11E Ch. 9.3 - Prob. 12E Ch. 9.3 - Prob. 13E Ch. 9.3 - Prob. 14E Ch. 9.3 - Prob. 15E Ch. 9.3 - Prob. 16E Ch. 9.3 - Center and Radius of a Sphere Show that the...Ch. 9.3 - Prob. 18E Ch. 9.3 - Prob. 19E Ch. 9.3 - Trace of a Sphere In these exercises we find the...Ch. 9.3 - Spherical Water Tank A water tank is in the shape...Ch. 9.3 - Prob. 22E Ch. 9.3 - Prob. 23E Ch. 9.3 - Prob. 24E Ch. 9.4 - A vector in three dimensions can be written in...Ch. 9.4 - Prob. 2E Ch. 9.4 - Prob. 3E Ch. 9.4 - Prob. 4E Ch. 9.4 - Prob. 5E Ch. 9.4 - Prob. 6E Ch. 9.4 - Prob. 7E Ch. 9.4 - Prob. 8E Ch. 9.4 - Prob. 9E Ch. 9.4 - Prob. 10E Ch. 9.4 - Prob. 11E Ch. 9.4 - Prob. 12E Ch. 9.4 - Prob. 13E Ch. 9.4 - Prob. 14E Ch. 9.4 - Prob. 15E Ch. 9.4 - Prob. 16E Ch. 9.4 - Prob. 17E Ch. 9.4 - Prob. 18E Ch. 9.4 - Prob. 19E Ch. 9.4 - Prob. 20E Ch. 9.4 - Prob. 21E Ch. 9.4 - Prob. 22E Ch. 9.4 - Prob. 23E Ch. 9.4 - Prob. 24E Ch. 9.4 - Prob. 25E Ch. 9.4 - Prob. 26E Ch. 9.4 - Prob. 27E Ch. 9.4 - Prob. 28E Ch. 9.4 - Prob. 29E Ch. 9.4 - Prob. 30E Ch. 9.4 - Prob. 31E Ch. 9.4 - Prob. 32E Ch. 9.4 - Prob. 33E Ch. 9.4 - Angle Between Two Vectors Find the angle between u...Ch. 9.4 - Prob. 35E Ch. 9.4 - Prob. 36E Ch. 9.4 - Prob. 37E Ch. 9.4 - Prob. 38E Ch. 9.4 - Direction Angles of a Vector Find the direction...Ch. 9.4 - Direction Angles of a Vector Find the direction...Ch. 9.4 - Prob. 41E Ch. 9.4 - Prob. 42E Ch. 9.4 - Prob. 43E Ch. 9.4 - Prob. 44E Ch. 9.4 - Prob. 45E Ch. 9.4 - Prob. 46E Ch. 9.4 - Parallel Vectors Two nonzero vectors are parallel...Ch. 9.4 - Prob. 48E Ch. 9.4 - Prob. 49E Ch. 9.4 - Prob. 50E Ch. 9.4 - Prob. 51E Ch. 9.5 - The cross product of the vectors u = a1, a2, a3...Ch. 9.5 - Prob. 2E Ch. 9.5 - Prob. 3E Ch. 9.5 - Prob. 4E Ch. 9.5 - Prob. 5E Ch. 9.5 - Prob. 6E Ch. 9.5 - Prob. 7E Ch. 9.5 - Prob. 8E Ch. 9.5 - Prob. 9E Ch. 9.5 - Prob. 10E Ch. 9.5 - Prob. 11E Ch. 9.5 - Orthogonal Vectors Two vectors u and v are given....Ch. 9.5 - Prob. 13E Ch. 9.5 - Prob. 14E Ch. 9.5 - Prob. 15E Ch. 9.5 - Prob. 16E Ch. 9.5 - Prob. 17E Ch. 9.5 - Prob. 18E Ch. 9.5 - Prob. 19E Ch. 9.5 - Prob. 20E Ch. 9.5 - Area of a Parallelogram Find the area of the...Ch. 9.5 - Prob. 22E Ch. 9.5 - Prob. 23E Ch. 9.5 - Prob. 24E Ch. 9.5 - Prob. 25E Ch. 9.5 - Prob. 26E Ch. 9.5 - Prob. 27E Ch. 9.5 - Prob. 28E Ch. 9.5 - Prob. 29E Ch. 9.5 - Prob. 30E Ch. 9.5 - Prob. 31E Ch. 9.5 - Prob. 32E Ch. 9.5 - Prob. 33E Ch. 9.5 - Prob. 34E Ch. 9.5 - Prob. 35E Ch. 9.5 - Rubiks Tetrahedron Rubiks Cube, a puzzle craze of...Ch. 9.5 - Prob. 37E Ch. 9.6 - A line in space is described algebraically by...Ch. 9.6 - Prob. 2E Ch. 9.6 - Prob. 3E Ch. 9.6 - Prob. 4E Ch. 9.6 - Prob. 5E Ch. 9.6 - Prob. 6E Ch. 9.6 - Prob. 7E Ch. 9.6 - Prob. 8E Ch. 9.6 - Prob. 9E Ch. 9.6 - Prob. 10E Ch. 9.6 - Prob. 11E Ch. 9.6 - Equations of Lines Find parametric equations for...Ch. 9.6 - Prob. 13E Ch. 9.6 - Prob. 14E Ch. 9.6 - Prob. 15E Ch. 9.6 - Prob. 16E Ch. 9.6 - Prob. 17E Ch. 9.6 - Prob. 18E Ch. 9.6 - Prob. 19E Ch. 9.6 - Prob. 20E Ch. 9.6 - Prob. 21E Ch. 9.6 - Prob. 22E Ch. 9.6 - Prob. 23E Ch. 9.6 - Prob. 24E Ch. 9.6 - Prob. 25E Ch. 9.6 - Prob. 26E Ch. 9.6 - Prob. 27E Ch. 9.6 - Equations of Lines A description of a line is...Ch. 9.6 - Prob. 29E Ch. 9.6 - Prob. 30E Ch. 9.6 - Prob. 31E Ch. 9.6 - Equations of Planes A description of a plane is...Ch. 9.6 - Prob. 33E Ch. 9.6 - Prob. 34E Ch. 9.6 - DISCOVER: Intersection of a Line and a Plane A...Ch. 9.6 - Prob. 36E Ch. 9.6 - Prob. 37E Ch. 9 - Prob. 1RCC Ch. 9 - Prob. 2RCC Ch. 9 - Prob. 3RCC Ch. 9 - (a) Describe the three-dimensional coordinate...Ch. 9 - Prob. 5RCC Ch. 9 - Prob. 6RCC Ch. 9 - Prob. 7RCC Ch. 9 - Prob. 8RCC Ch. 9 - Prob. 9RCC Ch. 9 - Prob. 10RCC Ch. 9 - Prob. 1RE Ch. 9 - Prob. 2RE Ch. 9 - Prob. 3RE Ch. 9 - Prob. 4RE Ch. 9 - Prob. 5RE Ch. 9 - Prob. 6RE Ch. 9 - Prob. 7RE Ch. 9 - Prob. 8RE Ch. 9 - Prob. 9RE Ch. 9 - Prob. 10RE Ch. 9 - Prob. 11RE Ch. 9 - True Velocity of a Plane An airplane heads N 60 E...Ch. 9 - Prob. 13RE Ch. 9 - Prob. 14RE Ch. 9 - Prob. 15RE Ch. 9 - Prob. 16RE Ch. 9 - Prob. 17RE Ch. 9 - Prob. 18RE Ch. 9 - Prob. 19RE Ch. 9 - Prob. 20RE Ch. 9 - Prob. 21RE Ch. 9 - Prob. 22RE Ch. 9 - Prob. 23RE Ch. 9 - Prob. 24RE Ch. 9 - Prob. 25RE Ch. 9 - Prob. 26RE Ch. 9 - Finding an Equation of a Sphere Find an equation...Ch. 9 - Prob. 28RE Ch. 9 - Prob. 29RE Ch. 9 - Prob. 30RE Ch. 9 - Prob. 31RE Ch. 9 - Prob. 32RE Ch. 9 - Prob. 33RE Ch. 9 - Prob. 34RE Ch. 9 - Prob. 35RE Ch. 9 - Prob. 36RE Ch. 9 - Prob. 37RE Ch. 9 - Prob. 38RE Ch. 9 - Prob. 39RE Ch. 9 - Prob. 40RE Ch. 9 - Prob. 41RE Ch. 9 - Prob. 42RE Ch. 9 - Prob. 43RE Ch. 9 - Prob. 44RE Ch. 9 - Prob. 45RE Ch. 9 - Prob. 46RE Ch. 9 - Prob. 47RE Ch. 9 - Prob. 48RE Ch. 9 - Prob. 49RE Ch. 9 - Prob. 50RE Ch. 9 - Prob. 51RE Ch. 9 - Prob. 52RE Ch. 9 - Prob. 53RE Ch. 9 - Prob. 54RE Ch. 9 - Prob. 1T Ch. 9 - Prob. 2T Ch. 9 - Prob. 3T Ch. 9 - A river is flowing due east at 8 mi/h. A man heads...Ch. 9 - Prob. 5T Ch. 9 - Prob. 6T Ch. 9 - Prob. 7T Ch. 9 - Calculate the given quantity if u = i + j 2k v =...Ch. 9 - Find two unit vectors that are perpendicular to...Ch. 9 - (a) Find a vector perpendicular to the plane that...Ch. 9 - Prob. 11T Ch. 9 - Prob. 1P Ch. 9 - Prob. 2P Ch. 9 - Prob. 3P Ch. 9 - Prob. 4P Ch. 9 - Prob. 5P Ch. 9 - Prob. 6P Ch. 9 - Prob. 7P Ch. 9 - Prob. 8P Ch. 9 - Prob. 9P Ch. 9 - Prob. 10P Ch. 9 - Prob. 11P Ch. 9 - Prob. 12P Ch. 9 - Prob. 13P Ch. 9 - Prob. 14P Ch. 9 - Prob. 15P Ch. 9 - Prob. 16P Ch. 9 - Prob. 17P Ch. 9 - Match the vector field F with the graphs labeled...Ch. 9 - Prob. 19P

Knowledge Booster

$Calculus$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

The equation of a sphere whose radius r is 6 and centre is C ( 3 , − 1 , 0 ) .

Solution Summary: The author explains the formula to evaluate the equation of a sphere with radius r and centre C(h,k,l).

Concept explainers

Videos

To Find: The equation of a sphere whose radius r is 6 and centre is C(3,−1,0) .

Want to see the full answer?

Chapter 9 Solutions