how much larger is the calculation of the volume of a sphere’s whose radius is 45 inches if pi is used instead of 3.14

Answer 1

The formula to calculate the volume of a sphere is V = (4/3) * π * r^3, where r is the radius of the sphere.

If we use the approximation of π as 3.14, the calculation of the volume of a sphere with a radius of 45 inches would be:

V = (4/3) * 3.14 * 45^3
V ≈ 305,362.8 cubic inches

Now, if we use the exact value of π, the calculation would be:

V = (4/3) * π * 45^3
V ≈ 305,376.75 cubic inches

The difference in volume between using the approximate value of π (3.14) and the exact value of π is approximately 13.95 cubic inches.