Question

Someone please solve the ratio for the radius of the two cones

Answer 1

`1:1.2`

Step-by-step explanation:

I may be wrong when I say this, but it is impossible to find the radius of cone A and B, as it is not the surface area we need to find it but the base area. The formula for finding the radius with the base area is
`A_(B)=\pi r^(2)`, but we also can't find the base area without the radius (which we are solving for). I don't want to leave this question without some sort of answer, so I'll be answering as if the base area of cone A is 5 m² and the base area of cone B is 7.2 m².

Using the formula, we can solve for the radius of both cones.

Cone A

`5=\pi r^(2)`

`r = \sqrt{(5)/(\pi) } = 1.26...`

Cone B

`7.2=\pi r^(2)`

`r = \sqrt{(7.2)/(\pi) } = 1.51...`

Giving us the ratio
`1.26:1.51`. However, our answer must be given in the form of
`1:n`, so we have to divide both sides by 1.26.


`(1.26)/(1.26) :(1.51)/(1.26)`

`1:1.2`

To give us our final answer, 1 : 1.2.

I apologize if this is wrong, as I still think it isn't possible to find the radius of cone A and cone B without the base area. If someone else does know how to solve your question with the information given, I hope they're below my answer.