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sladkih [1.3K]
2 years ago
14

Each container must hold exactly 1 litre of water Each container must have a minimum surface area

Mathematics
1 answer:
Arada [10]2 years ago
6 0

The containers must be spheres of radius = 6.2cm

<h3>How to minimize the surface area for the containers?</h3>

We know that the shape that minimizes the area for a fixed volume is the sphere.

Here, we want to get spheres of a volume of 1 liter. Where:

1 L = 1000 cm³

And remember that the volume of a sphere of radius R is:

V = \frac{4}{3}*3.14*R^3

Then we must solve:

V = \frac{4}{3}*3.14*R^3 = 1000cm^3\\\\R =\sqrt[3]{  (1000cm^3*\frac{3}{4*3.14} )} = 6.2cm

The containers must be spheres of radius = 6.2cm

If you want to learn more about volume:

brainly.com/question/1972490

#SPJ1

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