Final answer:
To find the radius of a right circular cylinder with a volume of 1441 cubic feet and height of 9 feet, use the formula r = √(V / (πh)). The estimated radius calculates to approximately 7.3 feet.
Step-by-step explanation:
The question asks for the radius of a right circular cylinder when the volume is 1441 cubic feet and the height is 9 feet. The volume of a cylinder is calculated using the formula V = πr²h, where V is the volume, r is the radius, and h is the height. To find the radius, we rearrange the formula to r = √(V / (πh)) and substitute the given values.
First calculate the value inside the square root:
V = 1441 cubic feet
h = 9 feet
π ≈ 3.14159
Then we compute the radius r:
r = √(1441 / (3.14159 × 9))
r ≈ √(53.38)
r ≈ 7.3 feet
Therefore, the radius of the cylinder is approximately 7.3 feet.