The volume of a cone is 1004.8 cubic inches. The height of the cone is 15 inches. What is the radius of the cone, rounded to the
2 answers:
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Step-by-step explanation:
Let's represent the two integers with the variables and
.
From the problem statement, we can create the following two equations:
With the first equation, we can subtract from both sides to isolate the
variable to the left-hand side:
Now that we have a value for , we can plug it into the second equation and solve for
:
Now, let's move everything to one side of the equation:
Factoring this quadratic will give us two values for :
Since we now know , we can plug this back into either of the original equations to get a value for
, which will be
.
So the two numbers that sum to and have a product of
are
.