Question 5 A planning engineer for a new flour mill must present some estimates to his company regarding the capacity of a silo designed to store grain. Grain is poured from a conveyor belt at the top of the silo into the silo. The silo is a cylinder 50 m high with a radius of 70 m. The conveyor carries grain at a rate of 1000 m³/h and the rice maintains a conical shape inside the silo whose radius is 2 times its height. (a) If, at a certain time t, the rice pile is 30 m high, how long will it take for the pile to reach the top of the silo? For this question, you can use the fact that the volume of a cone is given by arah.
Question 5 A planning engineer for a new flour mill must present some estimates to his company regarding the capacity of a silo designed to store grain. Grain is poured from a conveyor belt at the top of the silo into the silo. The silo is a cylinder 50 m high with a radius of 70 m. The conveyor carries grain at a rate of 1000 m³/h and the rice maintains a conical shape inside the silo whose radius is 2 times its height. (a) If, at a certain time t, the rice pile is 30 m high, how long will it take for the pile to reach the top of the silo? For this question, you can use the fact that the volume of a cone is given by arah.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:Question 5
planning engineer for a new flour mill must present some estimates
to his company regarding the capacity of a silo designed to store grain. Grain is poured from a
conveyor belt at the top of the silo into the silo. The silo is a cylinder 50 m high with a radius
of 70 m. The conveyor carries grain at a rate of 1000 m³/h and the rice maintains a conical
shape inside the silo whose radius is 2 times its height.
(a) If, at a certain time t, the rice pile is 30 m high, how long will it take for the pile to reach
the top of the silo? For this question, you can use the fact that the volume of a cone is given
by r²h.
(b) How fast is the floor area of the rice pile growing when the height of the pile is 25 m?
(c) How much room will be left in the floor area of the silo when the rice pile is 40 m high?[
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