The number of basketball that will fill up the entire office is <u>approximately 16,615.</u>
<em><u>Recall:</u></em>
Volume of a spherical shape =
Volume of a rectangular prism =
<em><u>Given:</u></em>
Diameter of basketball = 9.5 in.
Radius of the ball = 1/2 of 9.5 = 4.75 in.
Radius of the ball in ft = 0.4 ft (12 inches = 1 ft)
Dimension of the office (rectangular prism) = 20 ft by 18 ft by 12 ft
- First, find the volume of the basketball:
Volume of ball =
Volume of basketball =
- Convert to
<em>Therefore,</em>
- Volume of basketball =
- Find the volume of the office (rectangular prism):
Volume of the office =
- Number of basket ball that will fill the office = Volume of office / volume of basketball
- <em>Thus:</em>
Number of basket ball that will fill the office =
Therefore, it will take approximately <u>16,615 balls</u><u> to fill up the entire office</u>.
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