Acone has a volume of $12288\pi$ cubic inches and the vertex angle of the vertical cross section is 60 degrees. what is the height of the cone? express your answer as a decimal to the nearest tenth.

The height of the cone is

Step-by-step explanation:

step 1

Find the radius of the base of cone

we know that

The volume of the cone is equal to

we have

 ---> remember that the vertex angle of the vertical cross section is 60 degrees

so

substitute the values and solve for h

8y^50

step-by-step explanation:

∠cbe and ∠deb are same-side interior angles.

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