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Determine the volume of the figure that has a radius of 2 feet. Round your answer to the nearest tenth of a cubic foot. use 3.14 as an approximate value for pi.

Determine the volume of the figure that has a radius of 2 feet Round your answer to the nearest tenth of a cubic foot use 314 as an approximate value for pi class=

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Answer:

167.47 cubic feet

Step-by-step explanation:

Volume of the Cylinder

3.14×2^2×12=150.72

Volume of the Cone

3.14×2^2×4=50.24

50.24÷3=16.75

Total Volume

16.75+150.72=167.47

Volume is a three-dimensional scalar quantity. The total volume of the figure will be 167.552 ft³.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the figure is the sum of the volume of the cone and the volume of the cylinder.

The volume of the cone = (1/3)πr²h = (1/3)×π×2²×4 = 5.334π ft³

The volume of the cylinder = πr²h = π × 2² × 12 = 48π ft³

The total volume of the figure can be written as,

Total Volume = Volume of cone + Volume of cylinder

                       = 5.33π ft³ + 48π ft³

                       = 167.552 ft³

Hence, the total volume of the figure will be 167.552 ft³.

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