Question

In example 4, the volume of the beach ball is 17,000 cubic inches. Find the radius to the nearest inch. Use 3.14 for pi

Answer 1

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.

Answer 2

Volume of a sphere formula is: V=4 /3 πr^3

You know v=17000 and pi=3.14

17 000 = 4/3 x 3.14 x r^3

(divide 17 000 by 4/3 x 3.14 ) --> r^3 = 4060.51 (2dp)

(cube root is to get just r) r = 15.95 inches (2dp)

There 15 inches to the nearest inch.

Hope this is correct! :D