The US standard can is 4.83 inches high, 2.13 inches in diameter at the lid, and 2.60 inches in diameter at the widest point of the body. Assume that the can has the largest diameter 2) One cubic inch of volume of liquid is (equivalent to) the same as 16.3891 milliliters of liquid. What will be the resulting amount of liquid that has been bottled in milliliters?

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29-01-2018
Mathematics

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The US standard can is 4.83 inches high, 2.13 inches in diameter at the lid, and 2.60 inches in diameter at the widest point of the body. Assume that the can has the largest diameter 2) One cubic inch of volume of liquid is (equivalent to) the same as 16.3891 milliliters of liquid. What will be the resulting amount of liquid that has been bottled in milliliters?

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carlosego carlosego · Answer 1 · 2018-02-08T12:09:20+01:00

The first thing we must do for this case is to calculate the volume of the can using the largest diameter:
V = pi * ((d / 2) ^ 2) * (h)
Where,
h: height
d: diameter.
Calculating we have:
V = pi * ((2.60 / 2) ^ 2) * (4.83) = 25.64 in ^ 3
Then, to determine the amount of liquid in millimeters, we can use a simple rule of three:
1 in ^ 3 ---> 16.3891 milliliters
25.64 in ^ 3 ---> x
Clearing x we have:
x = ((25.64) / (1)) * (16.3891) = 420.22 mm
answer
The amount of liquid that has been bottled in milliliters is 420.22 mm