Answer: [tex]r = 7[/tex] inches
Step-by-step explanation:
The formula for finding the volume of a cylinder is given as :
[tex]V = \pi r^{2}h[/tex]
substituting the given values , we have
[tex]49\pi = \pi r^{2} (1)[/tex]
Therefore:
[tex]49 = r^{2}[/tex]
take the square root of both sides
[tex]7 = r[/tex]
Therefore :
[tex]r = 7[/tex] inches