A small beach ball has a radius of 8 inches. A larger beach ball has a volume that is twice the volume of the small ball. What is the best approximation for the radius of the large beach ball?

V = (4/3) pir^3

find smaller

V = (4/3) pi8^3

V = (4/3) pi512

V = (2048/3) pi

twice of that

Vbig=2 * (2048/3) pi

Vbig = (4096/3) pi

find radius

(4096/3) pi = (4/3) pir^3

divide both sides by pi

(4096/3) = (4/3) r^3

times both sides by 3

4096=4r^3

divide both sides by 4

1024=r^3

cube root both sides

8∛2=r

aprox

10.0794

the answer you are looking for is 8∛2 or 10.0794in or something close to that