w much larger is the calculation of the volume of a sphere's whose radius is
36
36 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.
When r = 36 inches:
V = (4/3)π(36)^3
V ≈ 58205.28 cubic inches
Using the approximation of π as 3.14:
V = (4/3)(3.14)(36)^3
V ≈ 60407.95 cubic inches
The difference in the volume calculation is:
60407.95 - 58205.28 ≈ 2295.67 cubic inches
Therefore, the difference of using π rather than 3.14 is about 2295.7 cubic inches.