What is the volume of hemisphere with diameter of 8 ft, rounded to the nearest tenth of a cubic?
_ ft^3
The formula for the volume of a hemisphere is:
V = (2/3)πr^3
where r is the radius.
Given that the diameter is 8 ft, the radius is half of that, so r = 8/2 = 4 ft.
Substituting this value into the formula, we have:
V = (2/3)π(4^3) = (2/3)π(64) = (128/3)π cubic ft.
To find the volume rounded to the nearest tenth, we can first calculate the value as a decimal:
V ≈ (128/3)π ≈ 134.04128654 cubic ft.
Rounded to the nearest tenth, the volume is:
V ≈ 134.0 ft^3.