<h3><u>Radius as function of volume is:</u></h3>
<em><u>Solution:</u></em>
<em><u>The volume of cone is given as</u></em>:
Where,
r is the radius
h is the height
From given,
height = 20 inches
From formula,
Rearrange , so that r is alone in left side of equation
Substitute h = 20
Thus, radius as function of volume is:
<h3>
Answer: The two numbers are -16 and -2</h3>
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Explanation:
To find this answer, you use guess and check as one approach. We can see that:
-16 plus -2 = -18
-16 times -2 = 32
Confirming the answer
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Another approach is to use the quadratic formula to solve this equation
x^2 - 18x + 32 = 0
note how -18 is the middle coefficient and 32 is the last term
When you solve for x, you should get the two solutions x = 16 and x = 2 as the two roots
Turn x = 16 into x-16 = 0 by subtracting 16 from both sides
Turn x = 2 into x-2 = 0 following the same basic idea
So we have the two equations x-16 = 0 and x-2 = 0
which combine to get (x-16)(x-2) = 0 through the zero product property
thus showing that the two numbers are -16 and -2
The center-radius form of the circle equationis in the format (x – h)2<span> + (y – k)</span>2<span> = r</span>2<span>, with the center being at the point (h, k) and the radius being "r". Therefore the radius of the circle with the given equation would be </span>√9 or 3, first option. Hope this answers the question.
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