To express the height as a function of the volume and the radius, we are going to use the volume formula for a cylinder:
where
is the volume
is the radius
is the height
We know for our problem that the cylindrical can is to contain 500cm^3 when full, so the volume of our cylinder is 500cm^3. In other words:
. We also know that the radius is r cm and height is h cm, so
and
. Lets replace the values in our formula:
Next, we are going to use the formula for the area of a cylinder:
where
is the area
is the radius
is the height
We know from our previous calculation that
, so lets replace that value in our area formula:
By the commutative property of addition, we can conclude that:
Answer:
H > 2.5
Step-by-step explanation:
Greater = >
Lessthan = <
Equal = =
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1 I think. Tell me if that is correct