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?
1 answer:
Answer:
31.4 in³
Step-by-step explanation:
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
You might be interested in
For a body moving with increasing acceleration, the graph will be in the form of an exponential function. An example of the exponential function is shown in the attached diagram.
Mathematically exponential function can be expressed by the following equation.
<span>F(a) = e^a, where a>0.</span>
