Final answer:
To determine the radius of a hemisphere with a volume of 885 cubic inches, the formula for the volume of a sphere divided by 2 is used. The calculated radius is approximately 6.8 inches, which is answer option B.
Step-by-step explanation:
The student asked what the radius of a hemisphere with a volume of 885 in³, to the nearest tenth of an inch, could be. To find this, we use the formula for the volume of a sphere (⅓×π×r³) and then divide by 2, as a hemisphere is half of a full sphere. Plugging in 885 in³ for the volume and solving for r gives us:
⅓×π×r³=2×885 in³
r³=⅔×2×885 in³/π
r³=⅔×1770 in³/π
r=(⅔×1770 in³/π)¹/³
After evaluating the above expression using a calculator, we find that r is approximately 6.8 inches, corresponding to option B.