What is the volume of a sphere with a diameter of 23.5 in, rounded to the nearest tenth of a cubic inch?
The formula for the volume of a sphere is V = (4/3)πr^3, where r is the radius of the sphere. Since we are given the diameter of the sphere, we first need to find the radius.
Radius = Diameter/2 = 23.5 in / 2 = 11.75 in
Now, we can plug the radius into the formula for the volume of a sphere:
V = (4/3)π(11.75)^3
V ≈ (4/3)π(1629.6)
V ≈ 6866.2 cubic inches
Therefore, the volume of the sphere with a diameter of 23.5 in is approximately 6866.2 cubic inches rounded to the nearest tenth.