Since r = h, we can substitute that into the equation
<span>V = pi * r^2 * r = pi * r^3 </span>
<span>Since we know the volume, we can put that in too. </span>
<span>64 pi = pi * r^3 now let's divide both sides by pi. </span>
<span>64 pi/pi = pi * r^3/pi </span>
<span>64 = r^3 </span>
<span>cuberoot(64) = r </span>
<span>cuberoot (2^6 )=r </span>
<span>4 = r</span>
-24.3 feet
-22.55-19.5 is -42.05
-42.05+ 17.75 is -24.3
We need to cancel out the discontinuity in x = 4
In order to do that, factorize the numerator:
5x⁴ - 20x³ = 5x³(x-4)
This way, your function will be:
f(x) = <span>5x³(x-4) / (x-4)
and the two parentheses cancel out, leaving
</span>f(x) = <span>5x³
</span>
which at x = 4 gives:
f(4) = <span>5·4³</span> = 5 · 64 = 320
Therefore K = 320.
