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A Finite Region R Is Contained in the First Quadrant

Question 17

Multiple Choice

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) 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 square units, (b) 8
B) (a) 2 square units, (b) 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
C) (a) 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 square units, (b) 4
D) (a) 4 square units, (b) 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
E) (a) 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 square units, (b) 4

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