The polynomial function defined by f(x) = ?/3x-5?x + 500?d/3can be used to find the depth that a ball 10 cm in diameter sinks in

The polynomial function defined by f(x) = ?/3x³-5?x² + 500?d/3can be used to find the depth that a ball 10 cm in diameter sinks in water. The constant d is the density of the ball, where the density of water is 1. The smallest positive zero of f(x) equals the depth that the ball sinks. Approximate this depth for each material and interpret the results.a) A wooden ball with d=0.6.b) A solid aluminum ball with d=2.7.c) A spherical water balloon with d=1.a) Select the correct choice below and fill in any answer boxes in your choice.A. The depth is 5.67(Type an integer or decimal rounded to the nearest hundredth as needed.)B. The answer is undefined.b) Select the correct choice below and fill in any answer boxes in your choice.A. The depth is(Type an integer or decimal rounded to the nearest hundredth as needed.)B. The answer is undefined.c) Select the correct choice below and fill in any answer boxes in your choice.A. The depth iscm.(Type an integer or decimal rounded to the nearest hundredth as needed.)B. The answer is undefined.