Question

finding an unknown dimension
4 at a candle factory, a giant cone-shaped vat with a volume of 1,884 ft³ holds melted candle wax. the cone is inside an 18-ft-tall cylinder that has the same radius and height as the cone. how much space is between the wall of the cylinder and the wall of the cone?
5 the parents of the students on the cheer squad found some 24-in. cardboard cones at the craft store and decided to cut 3 in. off the tips of the cones to make them look like megaphones for their centerpieces. they will fill each megaphone with beads in the school colors. the volume of one cone before the end is cut

Explanation:

Step1: Recall volume formulas

Volume of cone: $V_{cone}=\frac{1}{3}\pi r^2 h$
Volume of cylinder: $V_{cylinder}=\pi r^2 h$

Step2: Relate cylinder and cone volumes

Since $V_{cylinder}=3V_{cone}$ (same $r,h$)

Step3: Calculate cylinder volume

$V_{cylinder}=3\times1884=5652$ ft³

Step4: Find the empty space

Subtract cone volume from cylinder volume: $V_{space}=V_{cylinder}-V_{cone}$
$V_{space}=5652-1884$

Answer:

3768 ft³

---
Note: Question 5 is incomplete (the volume of the original cone is not provided). Please share the full details of question 5 to solve it.