rmmcdon2
contestada

When a spherical balloon is filled with air, it has a radius of 3 inches. Which of these gives the best estimate for the volume of air in the balloon in cubic inches?

A. 63.6

B. 108.0

C. 113.1

D. 150.8

Respuesta :

carlosego
By definition, the volume of a sphere is given by:
 V = (4/3) * (pi) * (r ^ 3)
 where,
 r: radius of the sphere.
 Substituting we have:
 V = (4/3) * (pi) * ((3) ^ 3) = 113.08 in ^ 3
 answer
 the best estimate for the volume of air in the balloon in cubic inches is
 C. 113.1
SociometricStar

Answer:

volume of air in balloon is 113.1 cubic inches.

Step-by-step explanation:

The radius of the spherical balloon is 3 inches.

The volume of sphere is given by

[tex]V=\frac{4}{3}\pi r^3[/tex]

Here, r = 3

On plugging the value of r, the volume is given by

[tex]V=\frac{4}{3}\pi 3^3[/tex]

On simplifying, we get

[tex]V=113.098[/tex]

Rounding to the neatest tenth,

V = 113.1

Hence, volume of air in balloon is 113.1 cubic inches.