Respuesta :
The formula for the volume of a cylinder is: π r² h
We know that the diameter of a circle = 2r, where r is the radius.
Thus, if the diameter is 24, the radius is 12.
The volume of a cylinder is 4320 π = π r² h
We should substitute in our measurement for the radius.
4320 π = π (12)² h
Next, we should simplify the equation by squaring the radius.
4320π = 144π h
Then, we should divide both sides by π.
4320 = 144h
Finally, we should divide both sides by 144, to get the height alone on the right side of the equation.
h = 30
Therefore, the height of the cylinder is 30 feet.
We know that the diameter of a circle = 2r, where r is the radius.
Thus, if the diameter is 24, the radius is 12.
The volume of a cylinder is 4320 π = π r² h
We should substitute in our measurement for the radius.
4320 π = π (12)² h
Next, we should simplify the equation by squaring the radius.
4320π = 144π h
Then, we should divide both sides by π.
4320 = 144h
Finally, we should divide both sides by 144, to get the height alone on the right side of the equation.
h = 30
Therefore, the height of the cylinder is 30 feet.