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 much chocolate does the box contain?use 3.14 for π, and do not round your answer.

Explanation:

Step1: Find radius of sphere

Radius $r = \frac{\text{diameter}}{2} = \frac{6}{2} = 3$ cm

Step2: Volume of one sphere

Use formula $V = \frac{4}{3}\pi r^3$. Substitute values:
$V_1 = \frac{4}{3} \times 3.14 \times 3^3 = \frac{4}{3} \times 3.14 \times 27 = 4 \times 3.14 \times 9 = 113.04$ cm³

Step3: Total volume for 20 candies

Multiply single volume by 20:
$V_{\text{total}} = 113.04 \times 20$

Answer:

2260.8 cm³