asked 114k views
0 votes
a cone has a radius of 1 foot and a height of 2 ft. how many clones of liquid would it take to fill a cylinder with a diameter of 2 ft and a height of 2 feet

asked
User Drharris
by
7.6k points

1 Answer

5 votes
Short Answer: 1
Remark
You could do this by comparing volumes through a proportion and that is likely the quickest way to get an answer. But it is also difficult to understand so I will do this by comparing volumes.

Step one
Find the volume of the small cone
Givens
r = 1 foot
h = 2 feet
pi = 3.14

Formula
V = 1/3 pi r^2 h

Sub and solve
V = 1/3 3.14 1^2 * 2
V = 2.09333

Step Two
Find the volume of the Large Cone
Givens
r = d/2 = 2/2 = 1 foot
h = 2 feet.

We can stop right here. The cones are exactly the same volume.

Answer: 1
answered
User Bruno Dos Santos
by
7.6k points
Welcome to Qamnty — a place to ask, share, and grow together. Join our community and get real answers from real people.