The Greatest Would Be 89.100
Answer:

Step-by-step explanation:
[...] if you can write the LHS as a perfect square, or if you can't spot a factorization of it right away, if and only if the discriminant
(or, if b is an even number, 1/4 of it) is zero.
<u>I see it! I see it!</u>
Stare at it for a while. First term is
, third term is
, we are missing a double product, but we can play with k. For the LHS to be
you just need
.
<u>I don't see it...</u>
Then number crunching it is. Set the discriminant to 0, solve for k

Answer:
The volume of the cone in terms of π is 90.31π inches³ to the nearest hundredth.
Step-by-step explanation:
Volume = πr²(h/3) = ?
Height = <em>15 inches</em> (from the diagram)
Find r
since we are given the circumference of the base circle = 8.5π inches => 2πr
∴ 8.5π inches = 2πr
( 8.5π / 2π ) inches = r
<em>4.25 inches</em> = (r) Radius
Now that we have both Height (15 inches) and Radius (4.25 inches), calculate the volume.
Volume = πr²(h/3)
= π * (4.25 inches)² * (15 inches / 3)
= π * 18.0625 inches² * 5 inches
Volume = 90.3125π inches³
Rounding to the nearest hundredth ≅ 90.31π inches³
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