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

Updated: Nov 18

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.

  1. Estimate the total number of light bulbs currently used in Delhi

  2. Estimate the number of hairs on your scalp

  3. Estimate the annual size of sport shoes in India

  4. Estimate the number of Golf ball that can fit in the room

  5. Estimate the number of Dogs in Delhi

  6. Number of Paracetamol tablets sold in Delhi

  7. Estimate the length of roads in Delhi

  8. Estimate the number of lakes in the world

  9. Estimate the number of hospitals in Delhi


Our team has curated a list of the most important product management frameworks asked in interviews such as Google, Deloitte, McKinsey, Microsoft, EY, ZS and many more. The frameworks are created from the best practices adopted by previous year candidates.

  1. Product Management: 4P's of Marketing

  2. Product Management: SWOT Analysis

  3. Product Management: AIDA Framework

  4. Product Management: Porter's Five Forces


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.

Size of the golf

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.






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