Respuesta :

Answer:

[tex]x=49/4[/tex]

Step-by-step 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

[tex]r1=8/2=4\ units[/tex]

[tex]h1=7\ units[/tex]

larger cone

[tex]r2=7\ units[/tex]

[tex]h2=x\ units[/tex]

so

[tex]\frac{h2}{h1}=\frac{r2}{r1}[/tex]

[tex]\frac{x}{7}=\frac{7}{4}\\ \\x=7*7/4\\ \\x=49/4[/tex]

The correct answer is:

D. [tex]\frac{49}{4}[/tex]

The value of x=[tex]\frac{49}{4}[/tex] would make the two cones similar.

[tex]|Huntrw6|[/tex]