## Interview Question

Revenue Management Co-op Interview

-Cincinnati, OH

Delta Air Lines## How many basketballs would fit in this room?

AnswerAdd Tags

## Interview Answers

44 Answers

▲

48

▼

Since the position is for a revenue management position, the interviewer will want to see that you can think through the math in a practical way. Don't guess. Instead, think aloud as you work out the answer. Here's a simple way to get a rough estimate of the number of basketballs that will fit in the room. Estimate the size of the room. Let's say it is about 10' x 10', with an 8' ceiling. Now, estimate the volume required for one basketball. To get a rough answer, don't get fancy with equations and dealing with the shape of the basketball. You may not be sure of the diameter of a basketball, but you have a rough idea. To make the math simple, figure that the ball is about 1' in diameter. The ball is the same width in all directions, so it takes up roughly 1 cubic foot of volume. How many cubic feet in the room? 10 time 10 time 8, or 800. So, there's room for approximately 800 basketballs. If I were interviewing a candidate for this type of position, I'd be very pleased if the candidate could think through that answer. But if this were a position for a role that involved more sophisticated math, such as a data analyst or engineering position, I would expect the candidate to go further and discuss how the estimate could be improved. The next step would be accounting for the exact dimensions of the room and basketballs. And an engineer should be aware of dense packing arrangements that could fit more basketballs into the room.

Meta S. Brown on

▲

54

▼

That depends. Inflated or deflated ?

Anon E. Mouse on

▲

11

▼

How many need to fit?

Zach on

▲

16

▼

Before I answer this question I would like to give more informations: 1. The size of the room 2. Is it empty or not? 3. If not the size of the furnitures 4. The basketballs would be inflated or not 5. The size of the basketballs in bothcases

Konstantinos Loulakis on

▲

5

▼

I can produce as many basketballs as the room needs, so I don't need to know how many. You just need to know that it will be done.

Anonymous on

▲

7

▼

All of them

Anonymous on

▲

5

▼

With us staying in the room with the basketballs or with us outside?

Anonymous on

▲

2

▼

It depends upon the ratio of leprechauns to unicorns.

Anonymous on

▲

1

▼

One

Danny on

▲

4

▼

PS. I do love the point made in the other answers here - are the balls inflated, is the room empty, etc. All good thinking, good questions, but still your interviewer will want you to actually answer the question.

Meta S. Brown on

▲

1

▼

Best answer has been to estimate and multiply - 10'x10'x8' and a 1' ball gives 800.. You have to be able to deal with uncertainty and unknowns. Sometimes an educated, fast guess is better than a drawn out answer. Of course you can always improve the answer but knowing that its around 800 is about as good as knowing that its 1200.

Anonymous on

▲

1

▼

a lot, stop wasting my time

jordan on

▲

0

▼

As many as my present bank balance would allow me to buy

Kunal on

▲

0

▼

One less than what would fit into the room

Krish on

▲

0

▼

If you filled the room with basketballs, what further use would the room be?

Anonymous on

▲

0

▼

As many as we can make room for...considering the items currently in the room and the possibility of rearranging those items for maximum displacement...assuming a 10 inch ball...do the balls have to be inflated? Are the balls packaged in some way that we need to take into consideration? Are there items in this room that we can room without negative impact?

Mary on

▲

0

▼

Are they inflated or deflated - So as many necessary to fill up the room.

Mimi on

▲

0

▼

And... why would you be wondering about this? ... March Madness???? 8-)

Anonymous on

▲

0

▼

If knowing the correct answer to this question is needed for this job, then I am not your candidate as I draw pictures for a living.

Anonymous on

▲

0

▼

All of them!

Mary on

▲

0

▼

As many as it takes!

Jim Selovich on

▲

0

▼

I don't even know how wide or empty the room is heh

Amel on

▲

0

▼

That depends, are they inflated or deflated?

Bob on

▲

0

▼

roof or no roof?

Tracey Rogers on

▲

1

▼

Whats the budget? do we need to fill the room?

Anonymous on

▲

0

▼

(Volume of the room / Volume of basketball) */ Packing Factor (depending on form of packing factor ratio)

Anonymous on

▲

2

▼

A regulation size basketball has a volume of 455.9 cubic inches. I would then get the width, length and height of the room. Put these dimension in a rectangle cube and calculate the volume. Divide the room volume by the basketball volume then you get the number of basketballs need to fill the room.

Eric on

▲

1

▼

Enough to break the ice lol

Cory on

▲

1

▼

Let's find out!

Matt on

▲

1

▼

A basketball takes up roughly one square foot of space. So, estimate the length, width and height of the room, multiply to get the square footage of the room, and that's (approx) how many basketballs would fit in the room!

Alyssa on

▲

2

▼

What benefit to this organization is it to know how many basketballs will fill it? How many basketballs do you want to fit in this room? I see this as more of a challenge to understand the logic of this being a relative task to the position.

Chris on

▲

0

▼

A basketball is about 25 cm in diameter. That means it has a nominal volume of 4/3*pi*(0.125) m^3, which is about 0.004 m^3. The packing efficiency of sphere is about 0.72, meaning that each ball takes up about 0.005 m^3. I just looked around my apartment and I think its about 4m x 7m x 3m. or 96 m^3. Divide the two numbers and you get about 4,500 basketballs in my apartment.

Anonymous on

▲

0

▼

I can fit a lot of basketballs in here but the question is how fast do you want it done?

Sarah C. on

▲

0

▼

Filled with air or deflated? Details matter.

Karen Daly on

▲

5

▼

The valuable real-estate is in my head, not this room. And I look forward to using that real-estate to increase Delta Air Lines' bottom line ;). But, that's a fun question... this room is 10 ft x 10 ft x 9 ft ceiling height. 900 cubic feet. The average diameter of an NBA Mens basketball is between 9.5" to 9.85". For the sake of calculation, lets say 9.7". Using these figures, we could fit 12.37 (or 12 balls) width wise and length wise in this room, stacking 11.13 (or 11 balls) high. 12x12x11. So, per my calculations, we can fit 1,584 balls in this room.

Amanda on

▲

0

▼

Bad information is worse than no information. Answer for question like that requires some effort. What resoureces can i have and how much time to perform some data collection?

Witek on

▲

0

▼

With or w/o air?

WAB on

▲

0

▼

Depends on the size of the basketball. Is it marble sized? or one really BIG basketball?

Bobbie Fenton on

▲

1

▼

Why would I fit basketballs in any room?

Anonymous on

▲

0

▼

I have totally sure that at least one Ball!

Alan E dos Santos on

▲

0

▼

cannot answer question, if the room was filled with balls, you could not open door to count

scot swartz on

▲

3

▼

i'D SAY THAT'S A REALLY STUPID QUESTION!

Anonymous on

▲

0

▼

Did you study physics with E.A.Dearolph at Woodward Academy?

zyportre on

▲

3

▼

if the room is empty, exactly its volume multiplied by 9. If you ask why 9, give it some thought, you'll find the answer in the end ;)

Mr. M on

## Add Answers or Comments

To comment on this, Sign In or Sign Up.