What is the radius of a sphere with a volume of 5271 m^3, to the nearest tenth of a meter?

10.8 m

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

We know the volume is 5271

5271 = 4/3 * 3.14 * r^3

5271 = 4.18666666 * r^3

Divide each side by 4.186666666

5271/4.18666666 = r^3

1258.996815 = r^3

Take the cube root of each side

(1258.996815) ^1/3 = (r^3) ^1/3

10.7979 = r

To the nearest tenth of a meter

10.8 = r

R = 10.8m Using the formula V = 4/3 π r3

Solving for R = r = (3V

4π) ⅓ = (3·5271

4·π) ⅓≈10.79613m