5. -12 ft
4'ft
Water is pumped into a tank that is shaped
like the right inverted cone shown above. The
cone has a base diameter of 12 feet and a
height of 4 feet. What is the volume, in cubic
feet, of the water in the tank when the height
of the water is 2 feet?
A. 6т cu ft
h
B. 189 cu ft
C. 24 cu ft
D. 487 cu ft

C. 24pi cu ft.

Step-by-step explanation:

The equation to find the volume of a cone is v=pi r^2 h/3. So, just substitute the given information to the equation:

pi=3.14; r=6; h=2

V= pi 6^2 2/3  >   V= pi(36) 2/3  > V=113.04 2/3 > V=75.36

Then you can go through all the answers and multiply them by 3.14.

6* 3.14=18.84;  A is wrong

18* 3.14=56.52; B is wrong

24* 3.14=75.36; C is correct

48* 3.14=150.72;  D is wrong

Now we know that the answer is C. 24pi cu ft.

a is the correct