A company makes chocolate candies in the shape of a solid sphere. Each candy has a diameter of 9 cm. A box contains 10 candies. We need to find the total volume of chocolate in the box, using 3.14 for $\pi$.

1. Problem Description

A company makes chocolate candies in the shape of a solid sphere. Each candy has a diameter of 9 cm. A box contains 10 candies. We need to find the total volume of chocolate in the box, using 3.14 for $\pi$.

2. Solution Steps

The volume of a sphere is given by the formula:

$V = \frac{4}{3}\pi r^3$

where $r$ is the radius of the sphere.

Given that the diameter of each candy is 9 cm, the radius is half of the diameter:

$r = \frac{9}{2} = 4.5$ cm

Now we can find the volume of a single candy using the formula for the volume of a sphere and using $\pi = 3.14$:

$V = \frac{4}{3} \times 3.14 \times (4.5)^3$

$V = \frac{4}{3} \times 3.14 \times 91.125$

$V = \frac{4}{3} \times 286.1535$

$V = \frac{1144.614}{3}$

$V = 381.538$ cubic centimeters

Since there are 10 candies in the box, the total volume of chocolate is:

Total Volume $= 10 \times V = 10 \times 381.538 = 3815.38$ cubic centimeters.

3. Final Answer

3815.38 cm$^3$