We have been given volume of the cylinder which is 536.94 cubic inches. Now question says to find the radius of the cylinder.
Then we need to use formula of volume of cylinder which is given by :
[tex] Volume = \pi r^2 h [/tex]
We see that there are three unknown values in the formula: {volume, radius-r, height-h}
So to find any one of them we must know other two values.
Volume is given but height is missing. So just for explanation i'm going to use height of the cylinder h= 19 inches
Now plug the value of volume and height in above formula
[tex] 536.94 = \pi r^2 *19 [/tex]
[tex] 536.94 = 3.14 r^2 *19 [/tex]
[tex] 536.94 = 59.66r^2 [/tex]
[tex] \frac{536.94}{59.66} =r^2 [/tex]
[tex] 9=r^2 [/tex]
take square root of both sides
3=r
Hence radius of the cylinder is 3 inches.
