A soft drink manufacturer is looking to repackage cans of soft drinks to minimize the cost of packaging while keeping the volume constant consider a can of soft drink with a capacity of 400ml. If the soft drink was packaged in a spherical can,find the radius of the sphere.
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Given : a can of soft drink with a capacity of 400ml was packaged in a spherical can
To Find : radius of the sphere.
Solution:
can of soft drink with a capacity of 400ml
1 ml = 1cm³
Hence Volume of can = 400 cm³
Spherical can
Volume of sphere = (4/3)πr³
Equate (4/3)πr³ = 400
=> πr³ = 300
=> 3.14r³ = 300
=> r³ = 95.5414
=> r = 4.57 cm
radius of the sphere. is 4.57 cm
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