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1 answer:
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Answer:
C
Step-by-step explanation:
The volume for a cone is given by:
For a given cone with a height of 6 inches, the volume is represented by:
We want to find the radius <em>r</em> in terms of <em>x</em>.
Since the height is 6, this means that:
By substitution:
Divide both sides by 2π:
Factor the right. Notice that we have a perfect square trinomial*:
Factor:
Therefore:
Take the square root of both sides. The radius should be positive, so we only need to consider the positive case:
And our answer is C!
*Note: