Solve the problem.
308) Find the volume of the solid generated by revolving the region enclosed by the ellipse 4x2 + 25y2 = 100 about the x-axis.
A) 4π2 B) 160π/3
C) 40π/3 D) 80π/3
309) Find the volume generated by revolving about the x-axis the region bounded by the following graph:
y = , x = 0, x = 7
A) 14π B) 1372/3 π C) 196π D) 686/3π
310) Find the volume generated by revolving about the y-axis the area bounded by the curves:
x2 – 25y2 = 25, x = 8
311) Find the volume generated by revolving about the y-axis the area bounded by the curves
2x2 – y2 = 50, x = 8
312) Find the coordinates of the centroid of the area bounded by y = x2 and y = 3
Find the eccentricity of the ellipse.
313) 9x2 + 4y2 = 36
D) / 3
314) 49x2 + 64y2 = 3136
A) / 8
C) / 8
D) / 7
315) 64x2 + 4y2 = 256
B) / 4
C) / 8
D) / 4
316) x2 + 36y2 = 36
A) B) / 6
C) / 6
317) 16x2 + y2 = 16
A) B) / 4
C) / 4
318) x2 + 2y2 = 6
A) √6 B) √2/2
C) √2 D) √6/2
319) 4x2 + y2 = 36
B) √5 C) √5/2
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