A company makes chocolate candies in the shape of a solid sphere. Each piece of candy has a diameter of 6cm. If a box contains 20 pieces of candy, how much chocolate does the box contain?

Respuesta :

Using the volume of the sphere, it is found that the box contains 2260 cm³ of chocolate.

What is the volume of a sphere?

The volume of a sphere of radius r is given by:

[tex]V = \frac{4\pi r^3}{3}[/tex]

In this question, each piece of candy has a diameter of 6cm, hence the radius is r = 3 cm, so the volume of each piece in cubic centimetres is given by:

[tex]V = \frac{4\pi 3^3}{3} = 113[/tex]

20 pieces, hence:

20 x 113 = 2260.

The box contains 2260 cm³ of chocolate.

More can be learned about the the volume of a sphere at https://brainly.com/question/25608353

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