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Find the volume of the composite solid. Round your answer to the nearest hundredth.

Find the volume of the composite solid. Round your answer to the nearest hundredth-example-1

1 Answer

4 votes

Answer:

9,114.81 ft³

Explanation:

The solid is composed of a cylinder and a hemisphere

Volume of the solid = volume of the cylinder + volume of the hemisphere

= πr²h + ⅔πr³

Where,

r = 8 ft

h = 40 ft

Plug in the values into the equation

Thus:

Volume of the solid = π*8²*40 + ⅔*π*8³

= 8,042.4772 + 1,072.33029

= 9,114.80729

= 9,114.81 ft³ (nearest hundredth)

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