# calculus

posted by .

find the are of the surface of the part of the sphere (x^2)+(y^2)+(z^2)=4 that lies above the plane z=4

• calculus -

Something fishy here.
the sphere has centre at (0,0,0) and radius 2
so it won't even reach the plane given by z=4

I guess we could say the surface area which lies above z=4 would be zero.

## Similar Questions

1. ### Physics-Gauss' Law

1. If a surface is a 10 meter by 10 meter plane lying in the y-z plane, what is the vector representing the area of the plane?
2. ### math

how do you find the volume of the solid that lies within the sphere x^2+y^2+z^2=9 above the xy plane, and outside the cone z=2*sqrt(x^2+y^2)?
3. ### calculus 4; multiple integration

Find the surface area of the portion of a plane f(x,y)=2-x-y that lies above the circle x^2+y^2<=1 in the 1st quadrant.
4. ### calculus 4; multiple integration

Find the surface area of the portion of a plane f(x,y)=2-x-y that lies above the circle x^2+y^2<=1 in the 1st quadrant.
5. ### calculusiii

Let S be the part of the sphere x^2 + y^2 + z^2 = 25 that lies above the plane z = 4. Let S have constant density k. (a) Find the center of mass. (b) Find the moment of inertia about the z-axis.
6. ### math

Let S be the part of the sphere x^2 + y^2 + z^2 = 25 that lies above the plane z = 4. Let S have constant density k. (a) Find the center of mass. (b) Find the moment of inertia about the z-axis.
7. ### math

Let S be the part of the sphere x^2 + y^2 + z^2 = 25 that lies above the plane z = 4. Let S have constant density k. (a) Find the center of mass. (b) Find the moment of inertia about the z-axis. so far I have found that the magnitude …
8. ### Calculus

Find the surface area of the part of the sphere x2+y2+z2=81 that lies above the cone z=√(x2+y2)
9. ### maths

K, Q1.A sphere of radius 5cm is lowered into a rectangular tank 50cm long and 20cm wide containing water to a depth of 10cm.The sphere floats with half of its surface above the level of the surface of the water Calculate (a)the volume …
10. ### Calculus

Imagine slicing through a sphere with a plane (sheet of paper). the smaller piece produced is called a radius of the sphere. Its volume is V=(pi)h^2(3r-h)/3, where r is the radius of the sphere and h is the thickness of the cap. find …

More Similar Questions