Question

To determine the surface area of the top part of the sphere ?^2 + ?^2+ ?^2...

To determine the surface area of the top part of the sphere ?^2 + ?^2+ ?^2 = 4 that is inside the cylinder ?^2 + ?^2 = 2?.

first, setup the integral for this surface area in polar coordinates.

second, Compute the integral. (be careful when you take the square root.)

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
To determine the surface area of the top part of the sphere x^2+y^2+z^2=4 that is inside...
To determine the surface area of the top part of the sphere x^2+y^2+z^2=4 that is inside the cylinder x^2+y^2=2y. first, setup the integral for this surface area in polar coordinates. second, Compute the integral. (be careful when you take the square root.)
Use a double integral to find the surface area of the part of the sphere x^2+y^2+z^2=a^2...
Use a double integral to find the surface area of the part of the sphere x^2+y^2+z^2=a^2 inside the circular cylinder x^2+y^2=b^2 wher 0<b<=a.
Find the surface area of upper part of the sphere of radius a, x2 + y2...
Find the surface area of upper part of the sphere of radius a, x2 + y2 + z2 = a2, cut by the cone z = sqrt(x2 + y2). Show the integral that corresponds to the surface area using spherical coordinates.
Find the area of the part of the cylinder x2+y2=2ax that lies inside the sphere x2+y2+z2=4a2...
Find the area of the part of the cylinder x2+y2=2ax that lies inside the sphere x2+y2+z2=4a2 by a surface integral. Please step by step solution
Consider the sphere x^2 + y^2 + z^2 = 81 determine the double integral, in polar...
Consider the sphere x^2 + y^2 + z^2 = 81 determine the double integral, in polar coordinates, needed to calculate the volume of the sphere. Calculate the integral.
There are 2 different formulas to calculate body surface area-the top one uses cm for height...
There are 2 different formulas to calculate body surface area-the top one uses cm for height and kg for weight and the bottom one uses inches and pounds. These must be completed using a calculator-you cannot do them on a sheet of paper. Complete the calculation inside the square root symbol and then hit the square root key and that is the answer labeled as m2 Please calculate the body surface area using the following formula. Body surface area is...
There are 2 different formulas to calculate body surface area-the top one uses cm for height...
There are 2 different formulas to calculate body surface area-the top one uses cm for height and kg for weight and the bottom one uses inches and pounds. These must be completed using a calculator-you cannot do them on a sheet of paper. Complete the calculation inside the square root symbol and then hit the square root key and that is the answer labeled as m2 Please calculate the body surface area using the following formula. Body surface area is...
Find the surface area of the part of the sphere x2 + y2 + z2  = ...
Find the surface area of the part of the sphere x2 + y2 + z2  =  49 that lies above the plane z  =  4.
Evaluate the area of the part of the conical surface x2 + y2 = z2 bounded...
Evaluate the area of the part of the conical surface x2 + y2 = z2 bounded below by the sphere x2 + y2 + z2 = 4 and above by the plane 2x + y + 10z = 20. Derive the final form of the integral.
In the following problems, the surface S is the part of the paraboloid z= x^2 +...
In the following problems, the surface S is the part of the paraboloid z= x^2 + y^2 which lies below the plane z= 4, and includes the circular intersection with this plane. This single surface S could also be described as being contained inside the cylinder x^2+y^2= 4. (a) Iterate, but do not evaluate, the integral ∫∫S(z+x) dS in terms of two parameters. Write the integrand in simplest form. (b) Use Stoke’s theorem to rewrite ∫S(delta X F) · ndS...