You have just opened a small business selling sports equipment . you are packaging basketballs inside boxes that are cubes . the volume of the box is 729 cubic feet . the basketball fits perfectly in the box without additional room at the point of the circumference of the ball . what is the volume of the basketball ? what is the volume of the space not occupied by the ball ?

Part A) The volume of the basketball is

Part B) The volume of the space not occupied by the ball is

Step-by-step explanation:

step 1

Find the length side of the cube (box)

we know that

The volume of a cube is equal to

where

b is the length side of the cube

we have

so

step 2

Find the volume of the basketball

we know that

The volume of a sphere (basketball) is equal to

we have that

The diameter of the basketball is equal to the length side of the cube

so

substitute

step 3

Find the volume of the space not occupied by the ball

we know that

The volume of the space not occupied by the ball is equal to the volume of the box minus the volume of the ball

so

side side side

side angle angle

angle side angle

side angle side

step-by-step explanation:

54 kilometers per hour

step-by-step explanation:

according to rules:

1 km = 1000 meter

which means that 1 meter = 1/1000 km

1 hour = 3600 second [ as 1 hour = 60 min = 60 *60 seconds ]

which means that 1 second = 1/3600 hour

therefore, 1 kilometer/hour =

thus to convert 15 meter per second to kilometer per hour, we multiply 15 to 3.6 kilometer/hour.

15 meter/second=   which is the required answer.