How much broth can a bowl in the shape of a hemisphere hold. The diameter of the bowl is 10.2 inches
To find the volume of the bowl in the shape of a hemisphere, we can use the formula for the volume of a sphere:
V = (4/3) * π * r^3
Since the bowl is only a hemisphere, we need to divide the volume by 2:
V_bowl = V_sphere / 2
where r is the radius of the hemisphere. We know that the diameter of the bowl is 10.2 inches, so the radius is half of that:
r = 10.2 inches / 2 = 5.1 inches
Plugging this value into the formula, we have:
V_bowl = ((4/3) * π * (5.1 inches)^3) / 2
Calculating this expression will give us the volume of the bowl.