A box of spherical candies is 23 g and its volume is 32.3 cm^3.

A box of spherical candies is 23 g and its volume is 32.3 cm^3.

If the average mass of a single jawbreaker is 0.94g, what is the radius of a single jawbreaker?

ANSWER:

The radius of each jawbreaker is approximately 0.68 cm.

Volume of a sphere;

  • v = 4 /3 πr³

where

r = radius

Therefore,

 

23 g  = 32.3 cm³

0.94 g  = ?

cross multiply

volume of a single jawbreaker = 32.3 × 0.94 / 23 = 30.362 / 23 = 1.32 cm³

Therefore,

volume of each jawbreaker = 4 /3 πr³

1.32 = 4 / 3 × 3.14 × r³

r³ = 1.32 /4.18666666667

r³ = 0.31533683707

r = ∛0.31533683707

= 0.680651651 = 0.68

Therefore, the radius of each jawbreaker is approximately 0.68 cm.

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