The volume of soccer ball is 288πcm3, what is the radius?

Answer 1

A soccer ball is in the form of a Sphere.

Volume of a Sphere: V = (4/3)πr³

In this case, V = 288π cm³. So:

1) Substitute the known value into the equation: 288π = (4/3)πr³

2) Notice the π value is on either side of the equation. It cancels: 288 = (4/3)r³

3) Simplifying: r³ = 216

4) Solving for r yeilds : r = 6 cm

The radius (r) of a soccer ball with a volume of 288 cm³ is 6 cm.

Answer 2

Just use the equation for the volume of a sphere. It is:

V = 4/3πr³

Since you are given the volume of 288π, just plug that in for "V" to get:

288π = 4/3πr³ [now divide both sides by π to get:

288 = 4/3r³ [now multiply both sides by 3 and divide both sides by 4 to get:

216 = r³ [now take the cube root of both sides to get:

r = 6 cm