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Question
question 2 (fill - the - blank worth 2 points)
(05.01 mc)
the stack on the left is made up of 15 pennies, and the stack on the right is also made up of 15 pennies. if the volume of the stack of pennies on the left is 360 mm³, what is the volume of the stack of pennies on the right in cubic
millimeters? use 3.14 for pi. (clue: only enter numerals in the answer blank)
numerical answers expected!
answer for blank 1:
Step1: Analyze the problem
Both stacks have the same number of pennies (15 each). The volume of a stack of coins (cylinder) depends on the base area and height. Since the number of pennies is the same, the height (total thickness) and the base area (diameter of the penny) should be the same for both stacks, regardless of the stack's shape (even if one is a bit uneven, the total volume of the pennies themselves should be the same because we're considering the volume of the stack of pennies, not the air or anything else—assuming the pennies are the same and the number is the same).
Step2: Determine the volume
Since the number of pennies is the same (15 pennies in each stack) and each penny has the same volume, the total volume of the right stack should be equal to the total volume of the left stack. The left stack's volume is given as \( 360 \, \text{mm}^3 \), so the right stack's volume is also \( 360 \, \text{mm}^3 \).
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\( 360 \)