3. A grain silo in the shape of a cylindrical building with a hemispherical dome roof is to be built on a farm. The cost of the materials is as follows: bricks for the sides cost $15/m², tiles for the roof cost $25/m² and concrete for the floor costs $10/m². If the volume of the silo is 23000 m³, determine a) the dimensions that will minimize the cost to build the silo b) the minimum cost to build the silo (to the nearest cent).

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.1: Prisms, Area And Volume
Problem 40E: As in Exercise 39, find the volume of the box if four congruent squares with sides of length 6 in....
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3. A grain silo in the shape of a cylindrical building with a hemispherical dome roof is to be built on a
farm. The cost of the materials is as follows: bricks for the sides cost $15/m², tiles for the roof cost
$25/m² and concrete for the floor costs $10/m². If the volume of the silo is 23000 m³, determine
a) the dimensions that will minimize the cost to build the silo
b) the minimum cost to build the silo (to the nearest cent).
Transcribed Image Text:3. A grain silo in the shape of a cylindrical building with a hemispherical dome roof is to be built on a farm. The cost of the materials is as follows: bricks for the sides cost $15/m², tiles for the roof cost $25/m² and concrete for the floor costs $10/m². If the volume of the silo is 23000 m³, determine a) the dimensions that will minimize the cost to build the silo b) the minimum cost to build the silo (to the nearest cent).
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Elementary Geometry For College Students, 7e
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