Question

Use cavalieri's principle to a circular pillar candle is 2.8 inches wide & 6 inches tall. find the volume of the candle.

Answer 1

The candle has the shape of a cylinder with height H=6 in, and radius of the circular base R= (2.8)/2 =1.4 (in).

The volume of the cylinder is Area(base)*height =


`\pi R^(2) *H=3.14* (1.4)^(2)*6= 37` (in cubed)

According to Cavalieri's principle, the volume of the candle is equal to the volume of the cylinder we described.

Answer: 37 in cubed