Final answer:
The radius of Cone B is approximately 1.73 inches.
Step-by-step explanation:
To find the radius of Cone B, we can use the formula for the volume of a cone:
V = πr²h/3
Given that the height of Cone B is 6 inches and the volume is 30 cubic inches, we can substitute these values into the formula:
30 = πr²(6)/3
Next, we can simplify the equation:
10r² = 30
Finally, we can solve for the radius:
r² = 3
r ≈ √3 ≈ 1.73 inches (rounded to the nearest tenth)