Question: Find the volume of the solid that lies inside both of the spheres and x? + y? + z? + 4x 2y + 4z +

Find the volume of the solid that lies inside both of the spheres

x? + y? + z? + 4x – 2y + 4z + 5 = 0

andx² + y? + z? = 4 .2 ,2

x? + y? + z? + 4x 2y + 4z + 5 = 0 x + y? + z? = 4 .2 ,2

Step by Step Solution

★★★★★

3.41 Rating (167 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Completing the square three times in the first equation gives x 2 y ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Precalculus Questions!

Q:

Use cylindrical coordinates. Find the volume of the solid that lies between the paraboloid z = x 2 + y 2 and the sphere x 2 + y 2 + z 2 = 2.

Q:

Use spherical coordinates. Find the volume of the solid that lies within the sphere x 2 + y 2 + z 2 = 4, above the xy-plane, and below the cone z = x 2 + y 2 .

Q:

Find the volume of the solid that lies under the plane 4x + 6y - 2z + 15 = 0 and above the rectangle R= {(x, y) | 1

Q:

Find the volume of the solid that lies inside both of the spheres x 2 + y 2 + z 2 + 4x 2y + 4z + 5 = 0 and x 2 + y 2 + z 2 = 4

Q:

6. [0/3 Points] DETAILS PREVIOUS ANSWERS SESSCALC2 10.1.013. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Write the equation of the sphere in standard form. x2 + 12 + 22 + 4x - 6y - 4z = -1 Find its...

Q:

Find the volume of the solid that lies inside both of the spheres x2 +y2 +z2 +4x2y+4z+5=0 x2 + y2 + z2 = 4. and

Q:

please help and thank you Problem. 9 : Use polar coordinates to find the volume of the solid that lies inside the sphere x2 + y + 22 = 64 and outside the cylinder a + y? = 25. volume : ? Problem. 10...

Q:

2. Consider two spheres of equations x+ y+z = 2x-2y+4z-2 and x + y+z=4x+2y+4. (a) For which points P on the first sphere and Q on the second sphere is the distance d(P,Q) maximum? (b) Find the volume...

Q:

please help and thank you Problem. 9 : Use polar coordinates to find the volume of the solid that lies inside the sphere x2 + y + 22 = 64 and outside the cylinder a + y? = 25. volume : ? Problem. 10...

Q:

17. Find the volume of the solid that lies inside the sphere x + y + z = 2 and outside of the cone. 18. Consider the double integral where D is the region bounded by the following four lines: at - y...

Q:

An annuitant pays $60,000 for a pure or straight life annuity whose annual payments are $6,000.The annuitant has a life expectancy of 16 years. How much of the $6,000 annual payment is includible...

Q:

Jim gave Betsy, his daughter, $1,200,000 on 1/1/20XX, which she used as a cash contribution to become a member of BJS, LLC. Calculate the gift tax, if any that Jim would need to pay for the current...

Q:

Blue Spruce Corp. purchased depreciable assets costing \ ( \ $ 4 2 5 , 0 0 0 \ ) on January 2 , 2 0 2 3 . For tax purposes, the company uses CCA in a class that has a \ ( 4 0 \ % \ ) rate. Assume...

Q:

What advantage does a sexually reproducing, diploid organism have in comparison to an asexually reproducing, haploid organism?

Q:

a. For the following functions and values of a, find f' (a). b. Determine an equation of the line tangent to the graph of f at the point (a, f(a)) for the given value of a. f(x) = 2x + 1; a = 4

Q:

a. For the following functions and values of a, find f' (a). b. Determine an equation of the line tangent to the graph of f at the point (a, f(a)) for the given value of a. f(x) = 3x; a = 12

Q:

a. For the following functions and values of a, find f' (a). b. Determine an equation of the line tangent to the graph of f at the point (a, f(a)) for the given value of a. f(x) = 1/x + 5 ; a = 5

Q:

A firm has two mutually exclusive investment projects to evaluate. The projects have the following cash flows: Time After-tax Cash Flow X After-tax Cash Flow Y 0 -$85,000 -$80,000 1 35,000 35,000 2...

Q:

Please help, I can't remember how to find these. Thank you. The variable x represents the number of minutes for a factory worker to complete a task on the assembly line. x 3.6 4.3 3 25.1 21 9.5 8.4...

Q:

Required information [The following information applies to the questions displayed below.] Tamar Co. manufactures a single product in one department. All direct materials are added at the beginning...