Question

Two stands at a craft fair sell cone-shaped candles. They are made by pouring wax into a mold. Booth A sells a candle with a radius of 4 in. and a height of 6 in. for $4.25. Booth B sells a candle with a radius of 5 in. and a height of 5 in. for $5.00. Which booth sells the candle made up of more wax?

Answer 1

In order to compare the amount of wax, you have to calculate the volume of both candles.

Candle of booth A = πr² h/3
A = π * 4² * 6/3
A = π * 16 * 2
A = 32π

Now, Candle of Booth B = π * 5² * 5/3
B = π * 25 * 5/3
B = 41.6π

In short, Booth B sells the candle with more wax.

Hope this helps!