You want to fill the cylinder shown below with water. All you have is a container shaped like a cone with a radius of 3 inches and a height of 7 inches; you can use this cone-shaped container to take water from a faucet and fill the cylinder. How many cones will it take to fill the cylinder? Explain your reasoning.

n = 9.14 ≈ 10 cones ( if integer is required )

Step-by-step explanation:

Given:

- The dimensions of the cylinder "missing from this question" are:

                          Radius r_1 = 8 in , Height h_1= 3 in

- The dimensions of faucet are :

                          Radius r_2 = 3 in , Height h_2 = 7 in

Find:

- How many cone shaped like containers are required to fill the cylinder.

Solution:

- We will denote the letter 'n' as the number of cone shaped containers.

- For n amount of cone shaped containers is to fill the container the volume of water of n container should equal the volume of water in cylinder. This can be expressed as follows:

                                       n*V_cone = V_cylinder

- Where,

               V_cone = ( 1 / 3 ) * pi * r^2 _2 * h_2

               V_cylinder = pi*r^2_1*h_1

- Hence,

                                      n = V_cylinder/ V_cone

Plug in values:

                                      n = (3*r^2_1 *h_1 )/ r^2_2 *h_2

                                      n = ( 3 * 8^2 * 3 ) / ( 3^2 * 7)

                                      n = 576 / 63 = 9.14 cones

                        n = 10 cones

this is a very good question

step-by-step explanation:

i got a hair cut today from my mom not to flex just to flex kim jon un is one rad fellow i'd say you'd need to take the hairline in kinda like a box shape like someone rammed a lego brick into your head. from there you really need to take the top up keeping with that boxy aesthetic, finally coat the whole thing with gel if your country economics are failing or whatever you can just coat it with the starving children's food rations. about 5 orphans per strand is a good ratio. good luck with the fresh cut my dude

a: 1/6, j: 1/4

step-by-step explanation: you are welcome