A finite region R is contained in the first quadrant of the xy-plane. The centroid of R is the point (3, h). When R is revolved about the y-axis it generates a solid having volume 12 cubic units. When R is revolved about the x-axis it generates a solid having volume 32 cubic units. Find (a) the area of R and (b) the value of h.
A) (a) square units, (b) 8
B) (a) 2 square units, (b)
C) (a) square units, (b) 4
D) (a) 4 square units, (b)
E) (a) square units, (b) 4

Question

A finite region R is contained in the first quadrant of the xy-plane. The centroid of R is the point (3, h). When R is revolved about the y-axis it generates a solid having volume 12 cubic units. When R is revolved about the x-axis it generates a solid having volume 32 cubic units. Find (a) the area of R and (b) the value of h.
A) (a) square units, (b) 8 
B) (a) 2 square units, (b) 
C) (a) square units, (b) 4 
D) (a) 4 square units, (b) 
E) (a) square units, (b) 4

Quizplus · Accepted Answer

The Answer of A finite region R is contained in the first quadrant of the xy-plane. The centroid of R is the point (3, h). When R is revolved about the y-axis it generates a solid having volume 12 cubic units. When R is revolved about the x-axis it generates a solid having volume 32 cubic units. Find (a) the area of R and (b) the value of h.
A) (a) square units, (b) 8 
B) (a) 2 square units, (b) 
C) (a) square units, (b) 4 
D) (a) 4 square units, (b) 
E) (a) square units, (b) 4

A Finite Region R Is Contained in the First Quadrant