Find the area of the portion of the sphere
Find the area of the portion of the sphere
Find the area of the surface. The portion of the sphere x2 + y2 + z2 = 625 inside the cylinder x2 + y2 = 400 d Help? Read It Talk! Talk to a Tutor Tutor
find the surface area of that portion of the sphere x^2+y^2+z^2 = 25 that is below the xy-plane and within the cylinder x^2+y^2=4 5. [10 Marks] Find the surface area of that portion of the sphere x2 + y2 2-25 that is below the ry-plane and within the cylinder 2 -4
1 point Let S be the portion of the sphere z2 + y2 +z2-4above the cone z-cVz2tr where c-1N3 Find the surface area of S Surface Area 2sqrt3 Evaluate the surface integral 1 point Let S be the portion of the sphere z2 + y2 +z2-4above the cone z-cVz2tr where c-1N3 Find the surface area of S Surface Area 2sqrt3 Evaluate the surface integral
2. (8 points) A zone of a sphere is the portion of its surface which lies between two parallel planes which intersect the sphere. The altitude of the zone is the distance between the planes. Show that the surface area A of a zone depends only on its altitude h and the radius R of the sphere. [hint: you need to express A as a function of h and R.]
2. (8 points) A zone of a sphere is the portion of its surface which lies between two parallel planes which intersect the sphere. The altitude of the zone is the distance between the planes. Show that the surface area A of a zone depends only on its altitude h and the radius R of the sphere. [hint: you need to express A as a function of h and R.]
2. (8 points) A zone of a sphere is the portion of its surface which lies between two parallel planes which intersect the sphere. The altitude of the zone is the distance between the planes. Show that the surface area A of a zone depends only on its altitude h and the radius R of the sphere. [hint: you need to express A as a function of h and R.]
2. (8 points) A zone of a sphere is the portion of its surface which lies between two parallel planes which intersect the sphere. The altitude of the zone is the distance between the planes. Show that the surface area A of a zone depends only on its altitude h and the radius R of the sphere. [hint: you need to express A as a function of h and R.]
In Exercises 31-36, find the flux of the field F across the portion of the sphere x2y z2= a2 in the first octant in the direction away from the origin 33. F(x, y, z) yi - xj k
Find the volume of the portion of the sphere, /2 and z = 0 using (i) cylindrical coordinates that is contained between the planes z and () spherical coordinates.