Respuesta :
Answer:
8
Step-by-step explanation:
Let the initial values of the height and the diameter be h and 2r.
Then the volume of the non-enlarged cylinder is \pi r^2 h
The volume of the enlarged cylinder becomes \pi(2r)^2 2h = \pi 4r^2*2h =8*\pi r^2 h.
So the 2nd volume is obtained by multiplying the 1st volume by 8.
Therefore the cylinder is enlarged by factor 8.
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The volume of the cylinder will be 8 times its original volume
How to find the volume of the cylinder?
Height of the cylinder = h
Diameter of the cylinder = d
The radius of the cylinder = [tex]\frac{d}{2}[/tex] = r
The volume of the cylinder = [tex]V_{}[/tex] = [tex]\pi r^{2} h[/tex]
The new height of the cylinder = 2h
New diameter of the cylinder = 2d
The new radius of the cylinder = [tex]\frac{2d}{2}[/tex] = 2r
The new volume of the cylinder = [tex]V_{new}[/tex]
= [tex]\pi (2r)^{2} 2h[/tex]
=[tex]8\pi[/tex][tex]r^{2} h[/tex]
[tex]V_{new}[/tex] = 8[tex]V^{}[/tex]
To learn more about the volume of a cylinder, refer:
https://brainly.com/question/6204273
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