Question

part b

1. a student makes conical candles using a mold with a radius of 4 inches and a height of 5 inches. how many complete molds will the student fill if there are 450 cubic inches of liquid wax? (use 3.14 as an approximation of pi.)

a 4 complete molds
b 5 complete molds
c 8 complete molds
d 9 complete molds

Explanation:

Step1: Recall the volume formula for a cone

The volume \( V \) of a cone is given by the formula \( V=\frac{1}{3}\pi r^{2}h \), where \( r \) is the radius and \( h \) is the height.

Step2: Substitute the given values into the formula

We are given that \( r = 4 \) inches, \( h=5 \) inches, and \( \pi\approx3.14 \). Substituting these values into the formula:

$$
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Step3: Calculate the number of complete molds

We have a total of 450 cubic inches of liquid wax. To find the number of complete molds, we divide the total volume of wax by the volume of one mold:

$$ \text{Number of molds}=\frac{450}{83.73}\approx5.37 $$

Since we need the number of complete molds, we take the floor of this value, which is 5.

Answer:

B. 5 complete molds