Find the radius of the sphere, given that the volume is approximately 1436.76in3.

Question

radius=x inches

Answer 1

The formula for the volume of a sphere is V = (4/3)πr^3, where r is the radius of the sphere.

We are given that the volume is approximately 1436.76in^3, so we can set up the equation as follows:

1436.76 = (4/3)πr^3

Solving for r, we get:

r^3 = (3/4)(1436.76)/π
r^3 ≈ 1077.57/π
r ≈ (1077.57/π)^(1/3)
r ≈ 6.96 inches

Therefore, the radius of the sphere is approximately 6.96 inches.