Find the Volume of the Grain Silo shown below that has a diameter of 20ft and a height of 40ft. Round your answer to the nearest hundredth . The top shape is a hemisphere and the bottom is a cylinder .

9514 1404 393

  14,660.77 ft^3

Step-by-step explanation:

The volume of a hemisphere-topped cylinder is given by the formula ...

  V = πr^2(2/3r +h)

where r is the radius and h is the height of the cylindrical section. Of course, the radius is half the diameter, so this silo has a volume of ...

  V = π(10 ft)^2(20/3 +40 ft) = 14,660.77 ft^3

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Additional comment

The volume is 14,653.33 ft^3 if you use 3.14 for π.

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step-by-step explanation:

step-by-step explanation:

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