Question

A town is storing salt for the winter in a cylindrical building. The building has a radius of 5 ft and is 30 ft tall. The building contains 1,500 ft3 of salt. What is the approximate height that the salt reaches in the building?

The answer are:
A. 0.5 ft
B. 5 ft
C. 19 ft
D. 22 ft

Answer 1

To start off, we know the problem involves something with volume as it is 3D and has a cubic in it.

We know r = 5, h = 30, and v = 1500

The volume for a cylinder in 3d is : V=
`\pi`
`r^(2)`h

We're solving for the height when the cylinder has a volume of 1500, therefor, we will solve for height.

Using our volume equation we plug in all values except h because we're solving for it.

1500=
`\pi r^(2) h`

1500=
`\pi 5^(2) h`

1500=25
`\pi`(h)

1500/25
`\pi` = h

60/
`\pi` = h

60/
`\pi` = 19.0985

H is 19ft. (C)