Geometry help plz I don’t get it

Question
Answer:
We know volume of a cylinder is v=2(pi)(r^2)(h)

Since it gives us the volume of 4019.2, we must work backwards.

1) Do the equation.

The problem starts us off with what we know already, which is 4019.2=2(pi)(r^2)(h). Since we know radius is 8, we can subsitute 8 for r and with the square unit, get 64. This leads to now 4019.2= 2(pi)(64)(h).

2) Divide by 2.

With the two in the equation, we must divide both sides by 2. This starts and ends with 4019.2/2 and 2(pi)(64)(h) divided by 2, giving us 2009.6=(pi)(64)(h).

3) Divide by pi.

To move us closer to the answer, you must divide both sides by pi to help us find out what the height is. So 2009.6 divided by pi, if simplified, should give us 640=(64)(h).

4) Divide by radius squared.

Now for final part. With h in the grasp, we divide both sides by 64 to leave h alone at last. So with 640/64, that gives us 10=h.

Therefore, the height is 10 units tall and that is the answer.

Hope this helps. Have a good day.
solved
general 5 months ago 2000