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Vesna [10]
3 years ago
15

HELP ASAP its due today also please include the work if possible

Mathematics
1 answer:
castortr0y [4]3 years ago
6 0
Use photomath. it shows the work too
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A soup can have a volume of 54 π in³ and a height of 6 in.
aniked [119]

Answer:

The area of the label is 36*pi in²

Step-by-step explanation:

A can of soup has a shape of a cylinder, therefore it's volume is equal to:

Volume = pi*r²*h

We need to use the formula above to find the radius of the base, because we need to calculate the lateral area of the cylinder, which is given by:

Lateral area = 2*pi*r*h

Applying the data from the problem we have:

54*pi = pi*r²*6

pi*r²*6 = 54*pi

r² = 54*pi/(pi*6)

r² = 54/6 = 9

r = sqrt(9) = 3 in

Therefore the lateral area is:

lateral area = 2*pi*(3)*(6) = 36*pi in²

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