The shape for a building that is to become a wheat silo is created by rotating the region bounded by the four curves 20 I =1, I = 40, y=0, about the r-axis. (a) At position r feet, where 1 < r < 40, calculate the cross-sectional area A(r) of the silo. (b) Find the volume of the silo. (c) If wheat prices at $20 per bushel, and a bushel is 60 pounds, and the density of wheat is 50 pounds per cubic foot, how much is one silo of wheat worth?

The shape for a building that is to become a wheat silo is created by rotating the region bounded by the four curves 20 I =1, I = 40, y=0, about the r-axis. (a) At position r feet, where 1 < r < 40, calculate the cross-sectional area A(r) of the silo. (b) Find the volume of the silo. (c) If wheat prices at $20 per bushel, and a bushel is 60 pounds, and the density of wheat is 50 pounds per cubic foot, how much is one silo of wheat worth?

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

Section10.6: The Three-dimensional Coordinate System

Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?

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