Final answer:
The volume of the hemisphere is 55495.5 cubic inches.
Step-by-step explanation:
To find the volume of a hemisphere, we can use the formula for the volume of a sphere and divide it by 2.
The volume of a sphere can be calculated using the formula:
V = (4/3)πr³
Given that the diameter of the hemisphere is 52.9 inches, we can find the radius by dividing the diameter by 2:
Radius = Diameter / 2 = 52.9 inches / 2 = 26.45 inches
Now we can calculate the volume of the hemisphere:
Volume = (4/3)π(26.45 inches)³ / 2
Using the value of π as approximately 3.14159, we can substitute the values into the formula:
Volume ≈ (4/3) × 3.14159 × (26.45 inches)³ / 2
Simplifying the calculation:
Volume ≈ 55495.5314 cubic inches
Rounding to the nearest tenth of a cubic inch, the volume of the hemisphere is approximately 55495.5 cubic inches.