What is the radius of the sphere if its volume is 99/448 m3?

Given:
V (ball) = (99/448) m3

To find:
R (ball) -?

1) The formula for finding the volume of a ball is as follows:
V = (4/3) * π * R ^ 3;
2) For the convenience of calculations, we will use the number π in the form of an ordinary fraction, which is as close as possible to the number π:
(22/7);
3) Convert the formula for the volume of a ball to calculate the radius of the ball:
R = 3√ (V / (4/3) * π) = 3√ ((99/448) / ((4/3) * (22/7))) = 3√ ((99/448) / ( 88/21)) = 3√ (2079/39424) = (3/8) (m).

Answer: The radius of the ball is (3/8) meters.