Question

The Scranton community gym is 90 feet long 60 feet wide and 40 feet high the volume of a regulated basketball is approximately 410 cubic inches give a lower and upper bound for the number of basketballs it would take to fill the gym

Answer 1

Given

The Scranton community gym is 90 feet long 60 feet wide and 40 feet high.

volume of a regulated basketball is approximately 410 cubic inches

Find

Give a lower and upper bound for the number of basketballs it would take to fill the gym

Step-by-step explanation

Volume of gym =

`90*60*40=21600\text{ }cubic\text{ }ft`

1 ft = 12 inch

so ,

21600 cubic ft =

`\begin{gathered} 21600*(12)^3 \\ 373,248,000\text{ }cubic\text{ }inches \end{gathered}`

therefore ,

number of basketballs it would take to fill the gym =

`\begin{gathered} 373,248,000/410 \\ 910,360.96 \end{gathered}`

so , it is in the bound of 900,000 - 1,000,000

Final Answer

Hence , a lower and upper bound for the number of basketballs it would take to fill the gym is 900,000 - 1,000,000