2 Answers

Edon · Answer 1 · 2022-03-09T23:25:02+0000

Answer:

h = 1.81 cm

Explanation:

Using the equation for the volume of the cylinder:

$V = (\pi(d^(2)) h)/(4)$

We need to isolate h by doing the follwing steps:

Eliminate the fraction by multiplying both sides by 4:

$(4)V = ((\pi(d^(2)) h)/(4)) (4)$

$4V = \pi d^(2) h$

Next, divide both sides by πd² to isolate h:

$(4V)/(\pi d^(2) ) = (\pi(d^(2)) h)/(\pi d^(2) )$

Therefore, the formula for h is:

$(4V)/(\pi d^(2) ) = h$

Next, plug in the values for d and V:

$(4V)/(\pi d^(2) ) = h$

$(4(172))/(\pi (11)^(2) ) = h$

$(4(172))/(\pi 121 ) = h$

$(688)/(\pi 121 ) = h$

1.81 = h

Therefore, h = 1.81 cm

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