Question

Find parametric equations for the sphere centered at the origin and with radius 3. Use the parameters s and t in your answer. x(s, t) = y(s, t) = , and z(s, t) = , where |

Answer 1

Explanation:

In general (x, y, z) = (p ·cos s ·sin t, p· sin s· sin t, p · cos t) where p is radius

x(s, t)= 3 ·cos s ·sin t

y(s, t)= 3· sin s· sin t

z(s, t) = 3· cos t

Where, radius is 3, s ∈ [0,2π), and t ∈ [0, π]