How much larger is the calculation of the volume of a sphere's whose radius is 30 30 inches if π is used instead of 3.14? Round your answer to the nearest tenth. The difference of using π rather than 3.14 is about cubic inches.
The formula for the volume of a sphere is V = (4/3)πr^3.
Using π = 3.14:
V = (4/3)(3.14)(30^3) = 113,097.6 cubic inches
Using exact π:
V = (4/3)(π)(30^3) = 113,097.3355 cubic inches
The difference is approximately 0.3 cubic inches.