How much larger is the calculation of the volume of a sphere's whose radius is 51 inches if π is used instead of 3.14?
The volume of a sphere is given by the formula V = (4/3)πr^3, where r is the radius of the sphere.
If we use the approximate value of π as 3.14, the volume of the sphere with a radius of 51 inches would be:
V = (4/3)(3.14)(51)^3 ≈ 563227.594 in^3
If we use the exact value of π (approximately 3.14159...), the volume of the sphere would be:
V = (4/3)(3.14159)(51)^3 ≈ 565262.185 in^3
Therefore, the volume of the sphere calculated using the exact value of π is approximately 2034.59 in^3 larger than the volume calculated using the approximate value of π.