The surface expressed parametrically by x = r cos $\theta$0, y = r sin $\theta$, is
A) a sphere
B) an ellipsoid
C) a paraboloid
D) a cone
E) a hemisphere

Question

The surface expressed parametrically by x = r cos $\theta$0, y = r sin $\theta$,  is
A) a sphere 
B) an ellipsoid 
C) a paraboloid 
D) a cone 
E) a hemisphere

Quizplus · Accepted Answer

The parametric equations for x and y are standard polar coordinates. The last term, 11ead0bc_8d9f_a41c_99a0_bd7dac1c3c2e_TB6988_11, represents an angle in spherical coordinates measured from the positive z-axis. Thus, the surface is a hemisphere with radius r and centered at the origin.

The Surface Expressed Parametrically by X = R Cos θ\thetaθ 0, Y = R Sin

The Surface Expressed Parametrically by X = R Cos $\theta$ 0, Y = R Sin