Answer :
Answer: [tex]\displaystyle r = \sqrt{36\pi}\;\text{yards}[/tex]
Step-by-step explanation:
To find the radius of a right circular cylinder when given the volume and height, we will solve the volume formula for radius and substitute the values that are given. This volume takes the area of the base and multiples it by the height.
V = πr²h
[tex]\displaystyle \frac{V}{\pi h} = r^2[/tex]
[tex]\displaystyle \sqrt{ \frac{V}{\pi h}} = r[/tex]
Now, we can substitute our given values.
[tex]\displaystyle r = \sqrt{\frac{V}{\pi h}}[/tex]
[tex]\displaystyle r = \sqrt{\frac{144x}{4\pi}}[/tex]
[tex]\displaystyle r = \sqrt{36x\pi}[/tex]
We are not given a value of x, so this is as far as we can simplify for now.
