Question

What is the difference between the amount of wax needed to make a cylindrical candle with a radius of `"2 in"` and a height of `"4 in"`, and a spherical candle with a radius of `"2 in"`? Use `3.14` for `pi`.

Answer 1

The answer is `"16.75 cubic inches"`.

Explanation:

In order to determine the amount of wax needed to make a cylindrical or spherical candle, you need to know the volume of both the cylinder and sphere.

The formula for volume of a cylinder is: `V=pir^2h`

The formula for volume of a sphere is: `V=4/3pir^3`

Volume of Cylinder

`pi=3.14`

`r="2 in"`

`h="4 in"`

Plug the known values into the formula for the volume of a cylinder.

`V=pixx(2"in")^2xx4"in"="50.24 in"^3`

Volume of Sphere

`pi=3.14`

`r="2 in"`

Plug the known values into the formula for the volume a sphere.

`V=4/3xx3.14xx(2"in")^3=33.49`

Difference in Volumes

`50.24"in"^3-33.49"in"^3="16.75 in"^3`