You could set up a ratio:
which then becomes:
which then becomes:
These two cylinders are congruent
2 answers:
Answer:
The height of cylinder B is <u>3.50 centimeters</u>.
Step-by-step explanation:
Given:
These two cylinders are congruent.
Cylinder A has a radius of 4 centimeters.
Cylinder B has a volume of 176 cubic centimeters.
Now, to find the height of cylinder B.
As given the cylinders A and B are congruent.
Thus, the cylinder A has a radius 4 centimeters that will be same of the cylinder B.
So, the radius of cylinder B(r) = 4 centimeters.
And the volume of cylinder B = 176 cubic centimeters.
Let the height be
Now, to get the height of cylinder B we put formula:
(Taking the value of π=3.14.)
Dividing both sides by 50.24 we get:
<u><em>Height = 3.50 centimeters.</em></u>
Therefore, the height of cylinder B is 3.50 centimeters.
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For a better understanding of the explanation provided here kindly go through the file attached.
Since, the weight attached is already at the lowest point at time, t=0, therefore, the equation will have a -9 as it's "amplitude" and it will be a Cosine function. This is because in cosine function, the function has the value of the amplitude at t=0.
Now, we know that the total angle in radians covered by a cosine in a given period is and the period given in the question is t=3 seconds. Therefore, the angular velocity,
of the mentioned system will be:
Combining all the above information, we see that the equation which models the distance, d, of the weight from its equilibrium after t seconds will be:
Thus, Option B is the correct option. The attached diagram is the graph of the option B and we can see clearly that at t=3, the weight indeed returns to it's original position.
