asked 192k views
0 votes
Un vecino de Don Melquiades hizo una excavación de 1,20 metros de profundidad para colocar un depósito cilíndrico con una capacidad de 2,500 litros ¿Cuanto deberá hacer la medida del diámetro del depósito para conservar su misma capacidad?

Fórmula: π(3.14) • r2(al cuadrado) • h

asked
User Pdobb
by
8.1k points

1 Answer

7 votes
For this case, the volume of the cylinder is given by:
V = pi * r ^ 2 * h
Where,
r: cylinder radius
h: cylinder height.
Substituting values we have:
2.5 = 3.14 * r ^ 2 * 1.20
Clearing r we have:
r = root (2.5 / (3.14 * 1.20))
r = 0.8 m
Therefore, the diameter is:
d = 2 * r
d = 2 * 0.8
d = 1.6 m
Answer:
The diameter of the deposit is:
d = 1.6 m
answered
User Fringd
by
9.1k points
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