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# Estimate the number of Golf ball that can fit in the room

Updated: Nov 18, 2022

Mobiprep has created step by step solution to estimation questions for all product management and consulting interview questions to help you with the mastering placement interviews. So let’s get started with the estimation questions.

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In this estimation question we have analysed the market size of the number of Golf ball that can fit in the room. Check out the step-by-step answer created by Mobiprep experts.

### Estimation Question Step-1: Segmentation

Approach:

Assume the room to be approximately 4 mtrs wide, 6 mtrs long and 4 mtrs in height.

(I came to this number as I know my height is 1.67 mtrs. So, I imagined how many people of my height can lie along the edge of the room.)

Therefore, Volume of the room = 400*400*600 cubic cm

= 4*4*6*10^6 cubic cm

= 96*10^6 cubic cm

Average diameter of a Golf ball is say 5 cm.

Therefore, volume of the Golf ball = 4/3*3.14*5/2*5/2*5/2 (As, Vol. of sphere = 4/3*3.14*r^3)

= 65.41 cubic cm

Now, volume covered by a Golf ball, if a cube of volume a^3 packs one Golf ball. So, Volume of Golf ball = Volume of a cube

Therefore, 4/3*3.14*(5/2)^3 = a^3

Hence, a = 4 cm (approx)

Therefore, Volume of cube = 4*4*4 cubic cm

= 64 cubic cm

Now,

For total no. of Golf balls that can fit in the room = (Volume of the room/Volume of the cube)

= (4*4*6*10^6)/(4*4*4)

= 1.5*10^6 balls

### Estimation Question Step-2: Solution

Now, for the spaces left in the 4 edges of the cube is approximately 25% volume of the ball.

Therefore, total number of Golf balls that can fit in the room are (1.5*10^6 - 25%*1.5*10^6)

balls

So, total Golf will be 3/4*15 lakhs

Therefore, total number of Golf balls that can fit in the room = 11.25 lakhs or 11 lakhs 25 thousands.