Question

Consider the right cones pictured below.

Which value of x would make the two cones similar?

Answer 1

The correct answer is:

D.
`(49)/(4)`

The value of x=
`(49)/(4)` would make the two cones similar.

`|Huntrw6|`

Answer 2

`x=49/4`

Explanation:

we know that

If two figures are similar, the the ratio of its corresponding sides is equal

In this problem we have

smaller cone

`r1=8/2=4\ units`

`h1=7\ units`

larger cone

`r2=7\ units`

`h2=x\ units`

so

`(h2)/(h1)=(r2)/(r1)`

`(x)/(7)=(7)/(4)\\ \\x=7*7/4\\ \\x=49/4`