Question

Please help!

An anthill has a volume of 8792 mm3 of dirt. Its radius is 20 mm.
How far does an ant have to crawl to get from the base of the cone to the top of the hill? (This is the slant height, s, of the cone.) Answer the questions to find out.
Use 3.14 for π and round your answer to the nearest millimeter if necessary
1. What is the height of the cone? Explain how you found the height.
2. Now that you have the height of the cone, how can you solve for the slant heights?
3. How far does the ant crawl to get from the base of the cone to the top of the hill? Show your work.

Answer 1

The slope is 29 mm.

Explanation:

What we know:

The radius of this cone is 20 mm, and the height is 21mm

s = √r^2 + h^2

s = √20^2 + 21^2

s = √400 + 441

s = √841

s = 29 mm

Volume of cone

V = Volume of cone =

r = Radius of cone = 20 mm

h = Height

s = Slant height.