Idon’t understand! ! the water tank in the diagram is in the shape of an inverted right circular cone. the radius of its base is 16 feet, and its height is 96 feet. what is the height, in feet, of the water in the tank if the amount of water is 25% of the tank’s capacity?

The height of the water is

Step-by-step explanation:

step 1

Find the volume of the tank

The volume of the inverted right circular cone is equal to

we have

substitute

step 2

Find the 25% of the tank’s capacity  

step 3

Find the height, of the water in the tank  

Let

h ----> the height of the water  

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

substitute

where

r is the radius of the smaller cone of the figure

h is the height of the smaller cone of the figure

R is the radius of the circular base of tank

H is the height of the tank

we  have

-----> volume of the smaller cone

substitute

Simplify

cross multiplying, we get :

⇒ (3) × (5) = (9) × (x)

⇒ 15 = 9x