Question

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?

Answer 1

40 candles can be made from the wax.

Explanation:

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

Volume of wax is
`70650\ cm^3`.

Let there are x candles that can be made.

Candles are in the shape of solid sphere.

Volume of a sphere is given by :

`V=(4)/(3)\pi r^3`

For x candles

`V=x* (4)/(3)\pi r^3\\\\70650= x* (4)/(3)\pi r^3\\\\x=(70650)/((4)/(3)\cdot3.14\cdot7.5^(3))\\\\x=40`

So, 40 candles can be made from the wax.