A grain silo is built from two right circular cones and a right circular cylinder with internal measurements represented by the figure above. Which is closest to the volume of grain silo, in cubic feet?

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261.8 𝑐𝑢𝑏𝑖𝑐 𝑓𝑡.

785.4 𝑐𝑢𝑏𝑖𝑐 𝑓𝑡.

916.3 𝑐𝑢𝑏𝑖𝑐 𝑓𝑡.

1,047.2𝑐𝑢𝑏𝑖𝑐 𝑓𝑡.

answer is D.

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Detailed Solution

Given,
Height of cone= 5 ft Height of cylinder=10 ft
Radius of cone and cylinder =5ft
Volume of silo = volume of cylinder + 2 X volume of cone
Volume of Silo = 𝜋𝑟2ℎ + 2 (𝜋𝑟2ℎ)
3
Volume of silo = 5 𝜋𝑟2ℎ = 1047.2 𝑐𝑢𝑏𝑖𝑐 𝑓𝑡.
3

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