Question

Julia is making a mold for creating cone-shaped candles. She starts with a cylindrical piece of wood and carves out a cone-shaped section. What is the approximate volume of the solid portion of the mold? Use 3.14 for π.

Answer 1

395.64
`inches^(3)`

Explanation:

We would take the volume of the cylinder and subtract out the cone.

Cylinder:

a =
`\pi r^(2)`h

a = (3.14)(
`3^(2)`)(18)

a = 508.68

Cone:

a =
`(1)/(3)`
`\pi r^(2)`h This is 1/3 of the cylinder that would encase the cone.

a =
`((3.14)(9)(12))/(3)`

a = 113.04

Subtract the cone from the cylinder to find the solid part of the mold.

508.68 - 113.04 = 395.64

Helping in the name of Jesus.