SOLUTION: Find the area of a label used to cover a can of juice that has a diameter of 13.5 cm and a height of 15 cm. Round to the nearest hundredth.

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Question 705791: Find the area of a label used to cover a can of juice that has a diameter of 13.5 cm and a height of 15 cm. Round to the nearest hundredth.
Found 2 solutions by checkley79, jsmallt9:
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
AREA=D*H
AREA=13.5*15
AREA=202.5 cm.

Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
The problem is to find the lateral surface area of a cylinder. If you know the formula for this you can use it to find the answer.

If you do not know the formula it is still possible to find the answer. You just have to realize that the label on the can is simply a rectangle that has been wrapped wound the can. To find the area of this rectangle we just have to know the length and width (or base and height) of the rectangle.

The height of the can, 15cm, is one side of the rectangle. The other side of the rectangle is the length of the circular edge at the top (or bottom) of the can. This length is the circumference of the circle. Since the formulas for circumference is:
C+=+pi%2Ad or C+=+2%2Api%2Ar
Since we have the diameter, d, we will use the first formula:
C+=+pi%2A13.5
or
C+=+13.5%2Api

Now that we have the length and width of the rectangle we can find its area:
A+=+13.5%2Api%2A15
which simplifies to:
A+=+202.5%2Api

This is an exact solution for the area of the label. Your problem says to round this to the nearest 100th which I will leave up to you. Just replace the pi with 3.141592693, multiply by 202.5 and then round.