Question

a company makes wax candles in the shape of a solid sphere. suppose each candle has a diameter of 18 cm. if the company has a total of 152,604 \\(\mathrm{cm}^3\\) of wax, how many candles can be made?\
use 3.14 for \\(\pi\\), and do not round your answer.\
\
\\(\square\\) candles

Explanation:

Step1: Find radius of the sphere

Radius $r = \frac{\text{diameter}}{2} = \frac{18}{9} = 9$ cm

Step2: Calculate volume of one candle

Volume formula for sphere: $V = \frac{4}{3}\pi r^3$. Substitute $\pi=3.14$, $r=9$:
$V = \frac{4}{3} \times 3.14 \times 9^3 = \frac{4}{3} \times 3.14 \times 729 = 4 \times 3.14 \times 243 = 3052.08$ cm³

Step3: Compute number of candles

Number = $\frac{\text{Total wax volume}}{\text{Volume per candle}} = \frac{152604}{3052.08} = 50$

Answer:

50