# Question 3 of 10 the two cones below are similar. what is the height of the smaller cone?

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## Answers

Can we see the cones please

The correct option is (D) [tex]\dfrac{15}{7}.[/tex]

Step-by-step explanation: Given that the two cones in the figure are similar.

We are to find the height 'x' of the smaller cone.

The height and radius of the bigger cone are 5 units and 7 units respectively.

The radius of the smaller cone is 3 units.

Since the two cones are similar, so their corresponding heights and radius will be proportional.

Therefore, we must have

[tex]\dfrac{5}{x}=\dfrac{7}{3}\\\\\\\Rightarrow 5\times 3=7x\\\\\\\Rightarrow7x=15\\\\\\\Rightarrow x=\dfrac{15}{7}.[/tex]

Thus, the height of the smaller cone is [tex]\dfrac{15}{7}~\textup{units}.[/tex]

Option (D) is correct.

The correct option is (D) [tex]\dfrac{15}{7}.[/tex]

Step-by-step explanation: Given that the two cones in the figure are similar.

We are to find the height 'x' of the smaller cone.

The height and radius of the bigger cone are 5 units and 7 units respectively.

The radius of the smaller cone is 3 units.

Since the two cones are similar, so their corresponding heights and radius will be proportional.

Therefore, we must have

[tex]\dfrac{5}{x}=\dfrac{7}{3}\\\\\\\Rightarrow 5\times 3=7x\\\\\\\Rightarrow7x=15\\\\\\\Rightarrow x=\dfrac{15}{7}.[/tex]

Thus, the height of the smaller cone is [tex]\dfrac{15}{7}~\textup{units}.[/tex]

Option (D) is correct.

a) 15/7

step-by-step explanation:

[tex]The two cones below are similar. what is the height of the smaller cone?[/tex]D. 20/7

Step-by-step explanation:

Since

4/7 = x/5

Multiply the left side by x and the right side by 4 as shown below

7*x = 4*5

7x = 20

Then dividing both sides by 7 would cancel on the left

7x/7=x

X = 20/7

D. [tex]\frac{20}{7}[/tex]

Step-by-step explanation:

When two solid same type figures are similar then their corresponding measures are in same proportion,

i.e. if a cone having radius [tex]r_1[/tex] and height [tex]h_1[/tex] is similar to the cone having radius [tex]r_2[/tex] and height [tex]h_2[/tex].

Then,

[tex]\frac{r_1}{r_2}=\frac{h_1}{h_2}[/tex]

Here,

[tex]r_1=7, r_2=4, h_1 = 5, h_2 = x[/tex]

By substituting the values,

[tex]\frac{7}{4}=\frac{5}{x}[/tex]

[tex]7x = 20[/tex]

[tex]\implies x = \frac{20}{7}[/tex]

Hence, the height of smaller one is 20/7 units.

D. [tex]\frac{20}{7}[/tex]

Step-by-step explanation:

When two solid same type figures are similar then their corresponding measures are in same proportion,

i.e. if a cone having radius [tex]r_1[/tex] and height [tex]h_1[/tex] is similar to the cone having radius [tex]r_2[/tex] and height [tex]h_2[/tex].

Then,

[tex]\frac{r_1}{r_2}=\frac{h_1}{h_2}[/tex]

Here,

[tex]r_1=7, r_2=4, h_1 = 5, h_2 = x[/tex]

By substituting the values,

[tex]\frac{7}{4}=\frac{5}{x}[/tex]

[tex]7x = 20[/tex]

[tex]\implies x = \frac{20}{7}[/tex]

Hence, the height of smaller one is 20/7 units.

if you're using Apex, your answer will be 35/4 or 8.75

Option C:

Height of the smaller cone is[tex]\frac{15}{7}[/tex] .

Solution:

Height of the larger cone = 5

Radius of the larger cone = 7

Radius of the smaller cone =3

To find the height of the smaller cone:

If two polygons are similar, then the corresponding sides are proportional to each other.

[tex]$\Rightarrow\frac{5}{x} =\frac{7}{3}[/tex]

Do cross multiplication.

[tex]$\Rightarrow5\times3=7x[/tex]

⇒ 15 = 7x

[tex]$\Rightarrow\frac{15}{7}=x[/tex]

[tex]$\Rightarrow x=\frac{15}{7}[/tex]

Option C is the correct answer.

Height of the smaller cone is[tex]\frac{15}{7}[/tex] .

Given that the two cone are similar, then

3/7 = x/5

7x = 15

x = 15/7

(c, 0) i might be wrong so don't put full faith on my answer

[tex]Give the coordinates for point p in the kite below without using any variables[/tex]step-by-step explanation:

which of the following statements correctly describes the expression below based on its degree and number of terms?

314 - 7x2 + 11