A company makes chocolate candies in the shape of a solid sphere. Each piece of candy has a diameter of 6 cm. If a box contains 20 pieces of candy, how muchchocolate does the box contain?Use 3.14 for m, and do not round your answer.

Respuesta :

Given:

The diameter of the sphere shape candy = 6 cm.

The radius of the sphere is

[tex]\text{radius}=\frac{diameter}{2}=\frac{6}{2}=3cm\text{.}[/tex]

The number of pieces contained in one box =20.

The volume of the sphere is

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

Substitute r=3 in the equation, we get

[tex]V=\frac{4}{3}\times3.14\times3^3[/tex]

[tex]V=113.04cm^3[/tex]

Multiply the volume by 20, we get

[tex]=113.04\times20=2260.8cm^3[/tex]

The box contains 2260.8 cubic cm of chocolate candies.