The radius of right circular cylinder is 4 feet
Solution:
Given that volume of a right circular cylinder is represented by:
[tex]v = \pi r^2h[/tex]
Where, "r" is the radius of base in feet
And "h" is the height of cylinder
Given that volume is 144 Pi cubic feet
[tex]v = 144 \pi[/tex]
height = 9 feet
To find: Radius of cylinder
Substitute the given values in formula,
[tex]v = \pi r^2 (9)\\\\144 \pi = \pi r^2 (9)\\\\9r^2 = 144\\\\r^2 = \frac{144}{9}\\\\r^2 = 16\\\\\text{Take square root on both sides }\\\\r = \sqrt{16}\\\\r = \pm 4\\\\\text{Ignoring negative value , we get }\\\\r = 4[/tex]
Thus radius of right circular cylinder is 4 feet
