Question

1. walter wants to make 100 candles in the shape of a cone for his new candle business. the mold shown below will be used to make the candles. each mold will have a height of 8 inches and a diameter of 3 inches. to the nearest cubic inch, what will be the total volume of 100 candles?

Explanation:

Step1: Find radius of cone

Radius $r=\frac{d}{2}=\frac{3}{2}= 1.5$ inches.

Step2: Calculate volume of one cone

The volume formula for a cone is $V=\frac{1}{3}\pi r^{2}h$. Substitute $r = 1.5$ inches and $h = 8$ inches. So $V=\frac{1}{3}\pi\times(1.5)^{2}\times8=\frac{1}{3}\pi\times2.25\times8 = 6\pi$ cubic inches.

Step3: Calculate total volume of 100 candles

Multiply the volume of one - cone by 100. Total volume $=100\times V=100\times6\pi = 600\pi\approx600\times3.14159 = 1884.954\approx1885$ cubic inches.

Answer:

1885 cubic inches