Respuesta :
Answer:
The radius should be increased by 0.295 inches.
Step-by-step explanation:
Volume of a cylinder:
In a cylinder, in which the base has radius [tex]r[/tex], and the height is [tex]h[/tex], the volume is given by:
[tex]V = \pi r^{2}h[/tex]
In this question:
5 inch height, radius of 2.5 inches. So the volume is given by:
[tex]V = \pi (2.5)^2(5) = 31.25\pi[/tex]
We want to increase the volume by 25%.
So, the new volume is given by:
[tex]1.25*31.25\pi = 39.0625\pi[/tex]
With this volume, keeping the height, the radius should be of:
[tex]V = \pi r^{2}h[/tex]
[tex]39.0625\pi = 5\pi r^{2}[/tex]
[tex]r^{2} = \frac{39.0625}{5}[/tex]
[tex]r^{2} = 7.8125[/tex]
[tex]r = \sqrt{7.8125}[/tex]
[tex]r = 2.795[/tex]
The radius should be of 2.795 inches, which is an increase of 2.795 - 2.5 = 0.295 inches.
Answer:
https://slideplayer.com/slide/14286858/ copy paste the link it has a bunch of the answers but sadly no work on it.
Step-by-step explanation:
