SOLUTION: The little pieces tuna companies is reducing the size of the radius of its best-selling can of tuna by 10%. By what percent is the volume of the can reduced --- Farmer Flag has

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Question 1044023: The little pieces tuna companies is reducing the size of the radius of its best-selling can of tuna by 10%. By what percent is the volume of the can reduced
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Farmer Flag has 400 feet of fencing to enclose a circular garden and a second 400 feet of fencing to enclose a square garden. What is the ratio of the area of the circular area to the area of the square garden. express your answer as a common fraction in terms of pi

Answer by advanced_Learner(501) About Me  (Show Source):
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The little pieces tuna companies is reducing the size of the radius of its best-selling can of tuna by 10%. By what percent is the volume of the can reduced
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Farmer Flag has 400 feet of fencing to enclose a circular garden and a second 400 feet of fencing to enclose a square garden. What is the ratio of the area of the circular area to the area of the square garden. express your answer as a common fraction in terms of pi
A.
original volume
V=pi%2Ar%5E2%2Ah

New+volume=pi%2A%280.9r%29%280.9r%29%2Ah
New+volume=pi%2A%280.81r%5E2%29%2Ah that is 19% reduction

change+in+volume+of+the+can+of+tuna=original+volume-new+volume
V=%28pi%2Ar%5E2%2Ah%29-pi%2A%28%280.81r%5E2%29%29%2Ah*%28100%29
factoring
%28%28pi%2A%28r%5E2%29%2Ah%2A%281-0.81%29%29%29*100
%28%28pi%2A%28r%5E2%29%2Ah%280.19%29%29%29*100
%28%28pi%2A%28r%5E2%29%2Ah%2819%29%29%29

that is 19% reduction


B.
circumference/perimeter of the circular garden
C=2pi%2Ar where R is radius
400=2pi%2Ar
%28200%29%2F%28pi%29=r
area of the circular garden
%28A%29=pi%2Ar%5E2
%28A%29=pi%2A%28%28200%29%2F%28pi%29%29%5E2
%28A%29=%284000%29%2F%28pi%29
perimeter of the square garden
p=4s where S means side
400=4s
100=s
area of the square garden
A=s%5E2
A=10000

he ratio of the area of the circular area to the area of the square garden
=
=%28%284000%29%2F%28pi%29%29%2F%2810000%29
=%28%282%2F5%29%2Api%29