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29 votes
Please help me with this A golf ball has a diameter of 1.6 in. How many golf balls will fit inside of a storage unit that is 10 feetwide, 20 feet long, and 8 feet high?

User VlatkoB
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1 Answer

16 votes
16 votes

The volume of a sphere is computed as follows:

V = 4/3*π*r³

where r is the radius of the sphere. If the diameter of the ball is 1.6 in, then its radius is 1.6/2 = 0.8 in, and its volume is:

V = 4/3*π*0.8³ = 2.14 in³

The volume of the storage unit is:

V = width*length*height

Replacing with data:

V = 10*20*8 = 1600 ft³

1 ft³ is equivalent to 1728 in³, then 1600 ft³ = 1600*1728 = 2764800 in³

Finally, the number of golf balls that fit inside of a storage unit is 2764800/2.14 ≈ 1291962 balls

User Navneeth G
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