Question

Consider the right cones pictured below.

Answer 1

Answer:

$x=49/4$

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

$r1=8/2=4\ units$

$h1=7\ units$

larger cone

$r2=7\ units$

$h2=x\ units$

so

$\frac{h2}{h1}=\frac{r2}{r1}$

$\frac{x}{7}=\frac{7}{4}\\ \\x=7*7/4\\ \\x=49/4$

Answer 2

The correct answer is:

D. $\frac{49}{4}$

The value of x=$\frac{49}{4}$ would make the two cones similar.

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