Answer:
180.55 in².
Step-by-step explanation:
Data obtained from the question include the following:
Height (h) = 9 in.
Diameter (d) = 5 in
Pi (π) = 3.14
Area of the label =..?
Next, we shall determine the radius.
Diameter (d) = 5 in
Radius (r) =.. ?
Radius (r) = Diameter (d) /2
r = d/2
r = 5/2
r = 2.5 in.
Next, we shall determine the area of the label that needs to be printed to go around the new container by calculating the surface area of the cylinder.
This is illustrated below:
Height (h) = 9 in.
Pi (π) = 3.14
Radius (r) = 2.5 in.
Surface Area (SA) =.?
SA = 2πrh + 2πr²
SA = (2×3.14×2.5×9) + (2×3.14×2.5²)
SA = 141.3 + 39.25
SA = 180.55 in²
The surface area of the cylinder is 180.55 in².
Therefore, the area of the label that needs to be printed to go around the new container is 180.55 in².
The cubed root of 2,744 is 14.
Problem 1
<h3>Answer:
6.7</h3>
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Work Shown:
The two points are
and 
Apply the distance formula to get the following

The distance between the two endpoints is roughly 6.7 units. This is the same as saying the segment is roughly 6.7 units long.
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Problem 2
<h3>Answer: 3.6</h3>
----------------
Work Shown:
We'll use the distance formula here as well.
This time we have the two points
and 
The distance between them is...

This distance is approximate.
Answer :
2/9v-2/5v=5-4
-8/45v=1
v= -45/8