How much larger is the calculation of the volume of a sphere's whose radius is

90
90 inches if π is used instead of 3.14?

Round your answer to the nearest tenth.

1 answer

Calculating the volume of a sphere with a radius of 90 inches using π is:

V = (4/3)πr^3
V = (4/3)(π)(90^3)
V ≈ (4/3)(3.14159)(90^3)
V ≈ 3053620.7 cubic inches

Calculating the volume of a sphere with a radius of 90 inches using 3.14 is:

V = (4/3)(3.14)(90^3)
V ≈ 3053620.0 cubic inches

The difference in volume when using π instead of 3.14 is approximately 0.7 cubic inches.