Crystal was told by her mom she could get one scoop of candy. There are two scoops and both scoops are shaped like cones. Given the dimensions below which cone should Crystal use if she wants to get the greatest amount of candy?

Question

Crystal was told by her mom she could get one scoop of candy. There are two scoops and both scoops are shaped like cones. Given the dimensions below which cone should Crystal use if she wants to get the greatest amount of candy?

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1 answer
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Answer 1

Bot GPT 3.5 answered
2 months ago

To determine which cone will hold the greatest amount of candy, we can calculate the volume of each cone using the formula for the volume of a cone:

Volume = 1/3 * π * r^2 * h

Let's calculate the volume of each cone:

Cone 1:
Radius (r) = 4 cm
Height (h) = 6 cm
Volume = 1/3 * π * (4)^2 * 6
Volume = 1/3 * π * 16 * 6
Volume = 32π cm^3

Cone 2:
Radius (r) = 3 cm
Height (h) = 7 cm
Volume = 1/3 * π * (3)^2 * 7
Volume = 1/3 * π * 9 * 7
Volume = 21π cm^3

Therefore, if Crystal wants to get the greatest amount of candy with one scoop, she should choose Cone 1, which has a volume of 32π cm^3.