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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 9 ft. The height of the buoy is 15 ft. h What is the volume of the buoy? Enter your answer, in exact form, in the box. ft3​

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abidemiokin

Composite shapes are made up of two or more shapes. The volume of the buoy in exact form is 1377π cubic feet

How to calculate the volume of composite shapes?

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(9)³
Vs = 972π cubic feet

Find the volume of the cone

Vc = 1/3πr²h
Vc = 1/3π(9)²(15)
Vc = 405π cubic feet

Find the volume of composite shape (buoy)
V = Vs + Vc
V =  972π + 405π
V = 1377π cubic feet

Hence the volume of the buoy in exact form is V = 1377π cubic feet

Learn more on volume of composite shape here: https://brainly.com/question/12693294

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