Answer:
B. 20/7
Step-by-step explanation:
[tex]\dfrac{5}{7}=\dfrac{x}{4}[/tex]
[tex]x=\dfrac{5\times 4}{7}[/tex]
[tex]x=\dfrac{20}{7}[/tex]
Height of the smaller cone is 20/ 7. thus Option B is the correct answer.
The volume of the cone is the product of one-third of the height, pie, and square of the radius.
Height of the larger cone = 5
Radius of the larger cone = 7
Radius of the smaller cone = 4
To find the height of the smaller cone:
The two cones below are similar.
If two polygons are similar, then the corresponding sides are proportional to each other so,
5/ x = 7/ 4
Do cross multiplication.
x = 5 (4) / 7
x = 20 /7
Option B is the correct answer.
Therefore, Height of the smaller cone is 20/ 7.
Learn more about this concept here;
https://brainly.com/question/14771575
#SPJ5
