The plane region defined by 0 $\le$ y $\le$ , 0 $\le$ x $\le$ a is revolved about the x-axis to generate a 3-dimensional region that is filled with material of constant density. Where is the centre of mass of this material?
A) on the x-axis, units to the right of the origin
B) on the x-axis, units to the right of the origin
C) on the x-axis, units to the right of the origin
D) on the x-axis, units to the right of the origin
E) on the x-axis, units to the right of the origin

Question

The plane region defined by 0 $\le$ y $\le$  , 0 $\le$ x $\le$ a is revolved about the x-axis to generate a 3-dimensional region that is filled with material of constant density. Where is the centre of mass of this material?
A) on the x-axis, units to the right of the origin 
B) on the x-axis, units to the right of the origin 
C) on the x-axis, units to the right of the origin 
D) on the x-axis, units to the right of the origin 
E) on the x-axis, units to the right of the origin

Quizplus · Accepted Answer

The Answer of The plane region defined by 0 $\le$ y $\le$  , 0 $\le$ x $\le$ a is revolved about the x-axis to generate a 3-dimensional region that is filled with material of constant density. Where is the centre of mass of this material?
A) on the x-axis, units to the right of the origin 
B) on the x-axis, units to the right of the origin 
C) on the x-axis, units to the right of the origin 
D) on the x-axis, units to the right of the origin 
E) on the x-axis, units to the right of the origin

The Plane Region Defined by 0 ≤\le≤ Y ≤\le≤ , 0 ≤\le≤ X ≤\le≤

The Plane Region Defined by 0 $\le$ Y $\le$ , 0 $\le$ X $\le$