Answer:
The radius of each base is 4.46 inches.
Step-by-step explanation:
The surface area (SA) of a cylinder is given by:
[tex]SA = 2\pi rh + 2\pi r^{2} = 325[/tex] (1)
Where:
r: is the radius of each base
h: is the height of the cylinder
Now, the lateral area (LA) is:
[tex]LA = 2\pi rh = 200[/tex] (2)
Hence, by entering equation (2) into equation (1) we have:
[tex] SA = LA + 2\pi r^{2} [/tex]
[tex] 325 = 200 + 2\pi r^{2} [/tex]
[tex] r = \sqrt{\frac{325 - 200}{2\pi}} = 4.46 in [/tex]
Therefore, the radius of each base is 4.46 inches.
I hope it helps you!
