Consider the right cones pictured below.
Which value of x would make the two cones similar?

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]