A buoy is constructed out of the bottom half of a sphere with a cone on top. The radius of the sphere and the radius of the cone is 6 ft. The height of the buoy is 10 ft. What is the volume of the buoy?
Enter your answer, in exact form, in the box.

Answer:

The correct answer is 192pi

Step-by-step explanation:

I took the test and this was the correst answer

Composite shapes are made up of two or more shapes. The required volume of the composite shape in exact form is 498π cubic feet

Composite shapes are made up of two or more shapes. According to the given question, the buoy is made up of a cone and sphere.

The volume of the buoy = volume of sphere + volume of the cone

Find the volume of the sphere

Vs = 4/3πr³
Vs = 4/3π(6)³
Vs = 288π cubic feet

Find the volume of the cone

Vc = 1/3πr²h
Vc = 1/3π(6)²(10)
Vc = 120π cubic feet

Volume of the buoy =  288π + 120π
V = 498π cubic feet

Therefore the required volume of the buoy in exact form is 498π cubic feet

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