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21.07.2022 - 02:55

An ice cream scoop scoops out ice cream spheres with radius 1 inch. How many scoops are needed to fill an ice cream cone with radius 2 inches and height 5 inches?

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An ice cream scoop scoops out ice cream spheres with radius 1 inch. How many scoops are needed to fill an ice cream cone with radius 2 inches and height 5 inches?

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Hattie April 7, 2023 в 08:06

To fill an ice cream cone with radius 2 inches and height 5 inches, we first need to find the volume of the cone. The formula for the volume of a cone is (1/3)?r^2h, where r is the radius and h is the height. Substituting in the given values, we get: Volume of cone = (1/3)?(2^2)(5) = 20/3? cubic inches Now, we need to find how many ice cream spheres with radius 1 inch can fit inside this cone. The formula for the volume of a sphere is (4/3)?r^3. Substituting in r=1, we get: Volume of sphere = (4/3)?(1^3) = 4/3? cubic inches Dividing the volume of the cone by the volume of one ice cream sphere, we get: Number of scoops needed = (20/3?) / (4/3?) = 5 Therefore, it takes 5 ice cream scoops to fill the given ice cream cone.

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