Approximate the volume of the solid in the first octant bounded by the sphere x² + y² + z² = 64, the planes x = 3, y = 3, and the three coordinate planes. To find an approximate value of the double integral, take a partition of the region in the way plane formed by the lines a = 1, x=2, y = 1, and y = 2, and take (Si, Yi) at the center of the ith region. O a. 58.6 cubic units O b. None of the choices. O C. 48.6 cubic units O d. 78.6 cubic units Oe. 68.6 cubic units

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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Approximate the volume of the solid in the first octant bounded by the sphere x² + y² + z² = 64, the planes x = 3,
Y = 3, and the three coordinate planes. To find an approximate value of the double integral, take a partition of the region
in the xy plane formed by the lines x = 1, x = 2, y = 1, and y = 2, and take (Si, Yi) at the center of the ith region.
O a. 58.6 cubic units
O b. None of the choices.
O c. 48.6 cubic units
O d. 78.6 cubic units
O e. 68.6 cubic units
Transcribed Image Text:Approximate the volume of the solid in the first octant bounded by the sphere x² + y² + z² = 64, the planes x = 3, Y = 3, and the three coordinate planes. To find an approximate value of the double integral, take a partition of the region in the xy plane formed by the lines x = 1, x = 2, y = 1, and y = 2, and take (Si, Yi) at the center of the ith region. O a. 58.6 cubic units O b. None of the choices. O c. 48.6 cubic units O d. 78.6 cubic units O e. 68.6 cubic units
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