Answer:
6 yd (Answer D)
Step-by-step explanation:
The formula for the volume of a cylinder of radius r and height h is
V = πr²h.
Here, this V = πr²h equals 144π yd³.
We must solve πr²h = 144π yd³ for r with the constraint that h = 4 yd.
Replacing h with 4 yd:
πr²(4 yd) = 144π yd³
Dividing both sides by π, we get:
4r² yd = 144 yd³
144 yd³
Solving for r²: r² = -------------- = 36 yd²
4 yd
Taking the square root of both sides, we get r = 6 yd (Answer D)
