Question

A company makes chocolate candies in the shape of a solid sphere. Each piece of candy has a diameter of 3cm. If a box contains 20 pieces of candy, how much chocolate does the box contain?

Answer 1

282.8 cm³

Explanation:

Since the volume of each chocolate candy is in the shape of a sphere, its volume is the volume of a sphere.

The volume of a sphere is given by V = 4πr³/3 where r = radius of the sphere = diameter/2.

Since diameter = 3 cm, r = 3 cm/2 = 1.5 cm

So, the volume of each candy is V = 4πr³/3 = 4π(1.5)³/3 = 42.412 cm³/3 = 14.14 cm³.

So, each candy contains 14.14 cm³ of chocolate.

Since each box of candy contains 20 pieces of candy, the quantity of chocolate contained would be 20 times V = 20V = 20 × 14.14 cm³ = 282.8 cm³

So, each box contains 282.8 cm³ of chocolate.