Question

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.

Answer 1

Given:

The diameter of the sphere shape candy = 6 cm.

The radius of the sphere is

`\text{radius}=(diameter)/(2)=(6)/(2)=3cm\text{.}`

The number of pieces contained in one box =20.

The volume of the sphere is

`V=(4)/(3)\pi r^3`

Substitute r=3 in the equation, we get

`V=(4)/(3)*3.14*3^3`

`V=113.04cm^3`

Multiply the volume by 20, we get

`=113.04*20=2260.8cm^3`

The box contains 2260.8 cubic cm of chocolate candies.