Final answer:
To find the radius of the beach ball, we can use the formula for the volume of a sphere and solve an equation. The radius is approximately 16 inches.
Step-by-step explanation:
To find the radius of the beach ball, we need to use the formula for the volume of a sphere. The formula is V = (4/3)πr³, where V is the volume and r is the radius. We are given that the volume of the beach ball is 17,000 cubic inches. So, we can set up the equation as 17000 = (4/3)(3.14)(r³). Simplifying this equation, we get (4/3)(3.14)(r³) = 17000.
Next, we can solve for r by dividing both sides of the equation by (4/3)(3.14). This gives us r³ = 17000 / ((4/3)(3.14)). Evaluating the right side of the equation, we get r³ = 4067.16. Finally, taking the cube root of both sides, we find that r ≈ 15.99. Since we need to round to the nearest inch, the radius is approximately 16 inches.