Respuesta :
Answer:
The correct answer is A.) Use the same radius but double the height.
Hope this helps ya'll :)
Option, Use the same radius but double the height is the correct answer.
What is a cylinder?
A cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance. The fixed distance between the parallel base is the height of the cylinder.
For the given situation,
The volume of a cylinder = 500 cubic units.
Sal wants to create a cylinder with twice the volume of the previous cylinder, that is the volume of new cylinder is 1000 cubic units.
The formula for the volume of cylinder, [tex]V = \pi r^{2} h[/tex]
where r is the radius and h is the height.
From the formula, it is clearly seen that the radius is exponentially increased and the height is linearly increased.
If we double the radius [tex]r=2r[/tex], then
[tex]V=\pi (2r)^{2} h[/tex]
⇒ [tex]V=4\pi r^{2}h[/tex]
The volume of the cylinder is increased four times. So we cannot double the radius.
If we double the height [tex]h=2h[/tex], then
[tex]V=\pi r^{2}(2h)[/tex]
⇒[tex]V=2\pi r^{2}h[/tex]
The volume of the cylinder is increased two times. So we can double the height.
Hence we can conclude that option, Use the same radius but double the height is the correct answer.
Learn more about cylinders here
https://brainly.com/question/16134180
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