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Question about Spatial Geometry: Volume of the Cylinder

Mathematics

ENEM

Spatial Geometry: Volume of the Cylinder

Hard

(ENEM 2021) - Question Hard of Mathematics

A village with 100 inhabitants is going through a prolonged drought situation and the responsible for the local public administration decide to hire the construction of a reservoir. It should have the shape of a right circular cylinder, with an internal base diameter of 5 meters, and meet the water demand of the population for exactly seven consecutive days. On the eighth day, the empty reservoir is completely refilled by water trucks. Consider that the average daily consumption per inhabitant is 120 liters of water. Use 3 as an approximation for π. Under the conditions presented, the reservoir should be built with a minimum internal height, in meters, equal to:
a.
4.48
b.
1.12
c.
3.10
d.
4.35
e.
5.60

Answer sheet:

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