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Question:

The radius of the silo roof is 7.5 feet and the height of the silo roof is 15.1 feet. What is the volume of..?

...the silo roof?WARNING: This question is for math connoisseurs only.

Answer:

V = (pi r ^2)(h) = (pi (7.5^2)) (15.1) = 2668.3903 f^3
i'm a registered stuctural engineer, and that i will furnish some perception. at the start, you should hunt for suggestion from with a good structural engineer who can verify no be counted if this works or no longer. you're able to prefer to furnish him with any lots different than the ineffective load of the concrete slab itself and the code required stay load standards. additionally, i could assume that the slab is a one-way slab, i.e., a slab that spans one way interior the sixteen feet measurement. Is the slab an consumer-friendly spanning slab or is it prevented from rotation on the partitions. many circumstances, deflection might govern this layout even nevertheless the reinforced concrete is risk-free to span this distance. he will ought to comprehend the 28 day capability of the concrete, f'c, and this variety of rebar you intend on making use of. The structural engineer will evaluate the shears and moments, and deflection of the slab under the mandatory loading and then he can layout the reinforcing steel required.
pi x r x r x H = equals volume of the cylindical portion of the silo 3.14 x 7.5x 7.5x 7.6 = 1342 CF (7.6 = ht of silo minus hemisphere roof at top) volume of sphere = 4/3 pi R to the 3rd 1.33 x 3.14 x 7.5x 7.5x 7.5= 1761.8 silo roof is half a sphere - volume of roof = 880.9 total volume of silo = 2223 cu ft LEX- forgot about the domed roof of the silo. Her calculation assumes a flat roofed cylinder volume only. Further the top of the roof is 15.1 You have to subtract the height of the half sphere from the cylinder calculation.

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