Corey bought 2 1/2 liters of paint for $60. What was the cost per liter of paint
2 answers:
Hello there!
Answer:
$24
Step-by-step explanation:
In order to find the answer to your problem, we're going to need to find out how much ONE liter of paint costs.
Lets gather the information of what we know:
2 1/2 liters of paint
↑ Cost $60.
With the information we know, we can solve to find the answer.
In order to get the answer, we would need to divide 60 by 2 1/2 (or 2.5). We would need to do this because when we divide it, it would allow us to get the cost for 1 liter.
Lets solve:
When you divide, you should get the answer of 24.
This means that one liter of paint cost $24.
$24 should be your FINAL answer.
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Answer:
The correct answer B) The volumes are equal.
Step-by-step explanation:
The area of a disk of revolution at any x about the x- axis is πy² where y=2x. If we integrate this area on the given range of values of x from x=0 to x=1 , we will get the volume of revolution about the x-axis, which here equals,
which when evaluated gives 4pi/3.
Now we have to calculate the volume of revolution about the y-axis. For that we have to first see by drawing the diagram that the area of the CD like disk centered about the y-axis for any y, as we rotate the triangular area given in the question would be pi - pi*x². if we integrate this area over the range of value of y that is from y=0 to y=2 , we will obtain the volume of revolution about the y-axis, which is given by,
If we just evaluate the integral as usual we will get 4pi/3 again(In the second step i have just replaced x with y/2 as given by the equation of the line), which is the same answer we got for the volume of revolution about the x-axis. Which means that the answer B) is correct.