A company makes candles in the shape of a solid sphere. Suppose each candle has a diameter of 15 cm. If the company has a total of 70,650 cm^3 of wax, how many candles can be made?

Respuesta :

Answer:

40 candles can be made from the wax.

Step-by-step explanation:

Diameter of each candle is 15 cm. Radius of each candle is 7.5 cm.

Volume of wax is [tex]70650\ cm^3[/tex].

Let there are x candles that can be made.

Candles are in the shape of solid sphere.

Volume of a sphere is given by :

[tex]V=\dfrac{4}{3}\pi r^3[/tex]

For x candles

[tex]V=x\times \dfrac{4}{3}\pi r^3\\\\70650= x\times \dfrac{4}{3}\pi r^3\\\\x=\dfrac{70650}{\frac{4}{3}\cdot3.14\cdot7.5^{3}}\\\\x=40[/tex]

So, 40 candles can be made from the wax.