Answer :
Final Answer:
Approximately 43 ice cream scoops can be made from one cylindrical container.
Explanation:
To find the number of ice cream scoops that can be made from the given container, we need to calculate the volume of the container and the volume of a single ice cream scoop.
Calculate the volume of the cylindrical container:
The formula for the volume of a cylinder is V = πr²h, where r is the radius and h is the height. Given that the diameter of the container is 32 cm, the radius (r) is half of the diameter, which is 16 cm. The height (h) of the container is 45 cm. Substituting these values into the formula:
V_container = π × (16 cm)² × 45 cm = 2880π cm³
Calculate the volume of a single ice cream scoop:
The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius. Given that the diameter of the ice cream scoop is 5 cm, the radius (r) is half of the diameter, which is 2.5 cm. Substituting this value into the formula:
V_scoop = (4/3)π × (2.5 cm)³ = 65.45π cm³
Divide the volume of the container by the volume of a single scoop:
Number of scoops = V_container / V_scoop
≈ (2880π cm³) / (65.45π cm³)
≈ 43.98
Since you can't have a fraction of a scoop, the maximum number of scoops that can be made from the container is approximately 43 scoops.
Learn more about cylindrical container
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