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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 .​

User Bvpb
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2 Answers

7 votes

Answer:14,660,77ft

Explanation:

11 votes

9514 1404 393

Answer:

14,660.77 ft^3

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.

User JWWalker
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