A ball will be filled with helium. If the ball has a diameter of 24 inches, what is the maximum amount of helium that the ball may hold?

A ball will be filled with helium If the ball has a diameter of 24 inches what is the maximum amount of helium that the ball may hold class=

Respuesta :

Assume the ball is spherical.

The volume of a sphere is V = (4/3) π (radius)^3

Now assume the given diameter, 24 inches, is the inner diameter of the ballon.

Then the radius is 24 in / 2 = 12 in.

Now you can replace the value in the formula and get:

V = (4/3) π (12 in)^3 = 2,304 π in^3

So, the answer is the option d. 2,304π in^3