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Svetlanka [38]
4 years ago
7

A cone-shaped container with a height of 6 inches and radius of 2 inches is filled with a substance that is worth $5 per cubic f

oot. find the total value of the substance in the container.
Mathematics
1 answer:
dimulka [17.4K]4 years ago
4 0
We know that

[volume of a cone]=pi*r²*h/3
r=2 in
h=6 in
[volume of a cone]=pi*2²*6/3------> 25.12 in³

1 ft³---------> 1728 in³
then
X------------> 25.12 in³
X=25.12/1728-----> x=0.014537 ft³

if 1 ft³--------------------> cost $5
0.014537 ft³-----------> X
X=0.014537*5-----> x=0.073

the answer is
<span>the total value of the substance in the container is $0.07</span>
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