During a construction project, heavy rain filled construction cones with water. The diameter of a cone is 12 in. and the height is 27 in.

What is the volume of the water that filled one cone?
Enter your answer as a decimal in the box. Use 3.14 for pi.

in³

Respuesta :

volume of a cone = πr^2(h/3)
r=6
h=27

v = 
π(6^2)27/3
v = 
π (36)(9)

v=
π324 in. cubed
or 
v=1,017.36 in. cubed 

The volume of the water that filled one cone is 1.1017.36in³

How to calculate the volume of a cone

The formula fo calculating the volume of a cone is expressed as:

V = 1/3πr²h

  • h is the height
  • r is the radius

Given the following parameters

r = 12/2 = 6in

h =27in

Get the volume

V = 1/3(3.14)(6)^2*27

V = 1.1017.36

Hence the volume of the water that filled one cone is 1.1017.36in³

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