A toy baseball bat comes with 3 plastic balls. The balls are in a box that is a rectangular solid. The box is just big enough to hold the 3 balls. The radius of the balls is 1.4 in. each What is the volume of the air in the box surrounding the balls?

The box is just big enough to hold the 3 balls, so it must have a length 6 times the radius of each ball, a width 2 times the radius, and a height 2 times the radius.

The volume of the box is:

V = (6r)(2r)(2r)

V = 24r³

The volume of the 3 balls is:

V = 3 (4/3 π r³)

V = 4πr³

So the volume of the air is:

V = 24r³ − 4πr³

V = (24 − 4π) r³

Since r = 1.4 inches:

V = (24 − 4π) (1.4 in)³

V ≈ 31.4 in³

Answer Link

A toy baseball bat comes with 3 plastic balls. The balls are in a box that is a rectangular solid. The box is just big enough to hold the 3 balls. The radius of the balls is 1.4 in. each What is the volume of the air in the box surrounding the balls?​

Respuesta :

Otras preguntas

A toy baseball bat comes with 3 plastic balls. The balls are in a box that is a rectangular solid. The box is just big enough to hold the 3 balls. The radius of the balls is 1.4 in. each What is the volume of the air in the box surrounding the balls?