Final answer:
To find out how many chocolate malt balls fit in the carton, calculate the volume of one malt ball using the formula for the volume of a sphere and then divide the volume of the carton by this volume. Round down to get the maximum number of whole malt balls that can fit.
Step-by-step explanation:
The student's question is about how many chocolate malt balls with a radius of 0.34 inches will fit in a carton that has the dimensions of a rectangular prism 1.5 inches by 2.5 inches by 6 inches. To solve this, we need to calculate the volume of a single malt ball and then the volume of the carton to determine how many balls can fit.
First, we calculate the volume of a single malt ball using the formula for the volume of a sphere: V = (4/3)πr^3, where r is the radius. Plugging in the radius value we have V = (4/3)π(0.34 inches)^3. Then we calculate the volume of the carton by multiplying its dimensions: 1.5 inches × 2.5 inches × 6 inches.
After calculating both volumes, we divide the volume of the carton by the volume of a single malt ball to find out how many balls will fit inside. Since we're looking for a whole number of malt balls, we will round down to the nearest whole number.