How many chocolate balls do you need to melt?

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SUMMARY

The discussion centers on calculating the number of 5/16 inch diameter chocolate balls required to yield 1.75 cups of melted chocolate. The volume of a sphere formula, \( V_{sphere} = \frac{4}{3} \pi r^3 \), is utilized to determine the volume of a single chocolate ball. The conversion from milliliters to cups is clarified, establishing that 1 cup equals 240 ml. Ultimately, the solution involves calculating the total volume needed in milliliters and determining how many chocolate balls are necessary to achieve that volume.

PREREQUISITES
  • Understanding of the volume of a sphere formula
  • Basic unit conversion between milliliters and cups
  • Familiarity with mathematical operations involving pi
  • Knowledge of metric and imperial measurement systems
NEXT STEPS
  • Calculate the volume of a sphere using the formula \( V_{sphere} = \frac{4}{3} \pi r^3 \)
  • Convert between milliliters and cups accurately
  • Explore the properties of different chocolate types and their melting points
  • Investigate other methods for measuring ingredients in cooking
USEFUL FOR

Cooks, bakers, and anyone involved in recipe formulation who needs to convert measurements and calculate ingredient volumes accurately.

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Homework Statement


A recipe calls for 1.75cups of melted chocolate. All you have in the cupboard are solid chocolate balls measuring 5/16inch in diameter. How many chocolate balls do you need to melt? ( V_{sphere} = \frac{4}{3} \pi r^3)




The Attempt at a Solution


The attempt is much too long to write out on here, Basically I took the radius of the chocolate bar and plugged it into find the volume of the chocolate bar in inches cubed, then converted the inches cubed into centimeters cubed which is the equivalent of a milliliter and I stopped there because I realized I know no way to convert from milliliters to cups.
 
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From what I gather from google

1 cup = 240 ml
 

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