Answer:
h = 1.81 cm
Step-by-step explanation:
Using the equation for the volume of the cylinder:
[tex]V = \frac{\pi(d^{2}) h}{4}[/tex]
We need to isolate h by doing the follwing steps:
Eliminate the fraction by multiplying both sides by 4:
[tex](4)V = (\frac{\pi(d^{2}) h}{4}) (4)[/tex]
[tex]4V = \pi d^{2} h[/tex]
Next, divide both sides by πd² to isolate h:
[tex]\frac{4V}{\pi d^{2} } = \frac{\pi(d^{2}) h}{\pi d^{2} }[/tex]
Therefore, the formula for h is:
[tex]\frac{4V}{\pi d^{2} } = h[/tex]
Next, plug in the values for d and V:
[tex]\frac{4V}{\pi d^{2} } = h[/tex]
[tex]\frac{4(172)}{\pi (11)^{2} } = h[/tex]
[tex]\frac{4(172)}{\pi 121 } = h[/tex]
[tex]\frac{688}{\pi 121 } = h[/tex]
1.81 = h
Therefore, h = 1.81 cm
