Mitchell Farms wishes to install a grain silo with a height of 20-50 feet and a radius under 10, the grain silo must have a volume of 10,000 cubic feet. For a cylinder of height h and radius r, the volume is given byV(r,h) = pi * ( r^2) * hWrite a function H(r) that determines a height on a radius input.Write a function R(h) that determines a radius based on a height input. Of the two solutions provided which makes the most physical sense? Plot both functions.If we wanted to keep the height between 20 and 50 feet, what interval of radii would we choose?If we wanted to keep the radius under 10 feet, what interval of height would we choose?Can their desire be met? that is can you suggest a cylinder with a height that falls between 20 and 50 feet AND has a radius under 10. On either plot, sketch y=x (or r=h in this case). Mitchell farm has inquired about equal height and radius, does this exist? how would drawing the r=h in this case be helpful?

Name: Mitchell Farms wishes to install a grain silo with a height of 20-50 f
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Description: Mitchell Farms wishes to install a grain silo with a height of 20-50 feet and a radius under 10, the grain silo must have a volume of 10,000 cubic feet. For a cylinder of height h and radius r, the volume is given byV(r,h) = pi * ( r^2) * hWrite a fu

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Answered: Mitchell Farms wishes to install a…

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

ChapterP: Prerequisites

SectionP.7: A Library Of Parent Functions

Problem 47E

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Mitchell Farms wishes to install a grain silo with a height of 20-50 feet and a radius under 10, the grain silo must have a volume of 10,000 cubic feet. For a cylinder of height h and radius r, the volume is given by

V(r,h) = pi * ( r^2) * h

Write a function H(r) that determines a height on a radius input.
Write a function R(h) that determines a radius based on a height input. Of the two solutions provided which makes the most physical sense?
Plot both functions.
If we wanted to keep the height between 20 and 50 feet, what interval of radii would we choose?
If we wanted to keep the radius under 10 feet, what interval of height would we choose?
Can their desire be met? that is can you suggest a cylinder with a height that falls between 20 and 50 feet AND has a radius under 10.
On either plot, sketch y=x (or r=h in this case). Mitchell farm has inquired about equal height and radius, does this exist? how would drawing the r=h in this case be helpful?

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Write a function H(r) that determines a height on a radius input.

Write a function R (h) that determines a radius based on a height input.

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