Use an equation of ratios to solve this:
12 cm 9 cm
---------- = ---------
x 8 cm
Cross multiplying, 9x = 96, and x = 32/3 cm (10 2/3 cm).
Answer:
h = 21.5cm.
Step-by-step explanation:
<em>Step one:</em> Simplify the volume.
220.16 x (pi) = 691.65cm^3.
<em>Step two:</em> Isolate h.
Cylinder volume equation: V = (pi)(r^2)(h), where r is the radius and h is the height.
Divide out the pi and r^2 on both sides to isolate h and move the equation to V/(pi)(r^2) = h.
<em>Step three:</em> Solve for h.
691.65/(pi)(3.2^2) = 21.5cm rounded to the nearest tenths place.
To illustrate this, please check the diagram below.
The density would be 5.11111111.... and so on g/cm^3. I don't know how far your teacher wants you to round.
It would be: 5/6 * -4/15 = -20/90 = -2/9
So, option B is your answer.
Hope this helps!