A candle maker uses a mold to make candles like the one shown below.
The height of the candle is 13 cm and the circumference of the candle at its widest measure is 31.416 cm. Use modeling to approximate how much wax, to the nearest cubic centimeter, is needed to make this candle. Justify your answer.
The diagram above is a cone and the volume of a cone is given as: V = 1/3 πr2h.
Where r and h are the radius and height of the cone respectively.
Also, since the base of the cone is a circle, its circumference is given as: C = 2πr
where r is the radius.
Thus, 31.416 = 2πr
Divide both sides by 2π
r = 31.416/2π
r = 5
Therefore, V = 1/3 π(5)2(13)
V = 340 cubic centimeter