- #1
Stan12
- 20
- 0
Homework Statement
Parametrize the portion of the sphere given by x2 + y2 + z2 = 7 that lies above z = √3. (use cylindrical coordinates)
Homework Equations
x2 + y2 = r2
The Attempt at a Solution
x = rcosθ
y = rsinθ
z = z
z = √3
x2 + y2 + (√3)2 = 7
x2 + y2 = 4
r2cos2θ + r2 sin2θ = 4
r2 (cos2 + sin2θ) = 4
r = 2
Is this the correct way of parametrization?
Last edited: