A company that manufactures storage bins for grains made a drawing of a silo. The silo has a conical base, as shown below: Which of the following could be used to calculate the total volume of grains that can be stored in the silo? π(8.5ft)2(2ft) + one over threeπ(2ft)2(13ft − 8.5ft) π(2ft)2(8.5ft) + one over threeπ(2ft)2(13ft − 8.5ft) π(8.5ft)2(2ft) + one over threeπ(13ft − 8.5ft)2(2ft) π(2ft)2(8.5ft) + one over threeπ(13ft − 8.5ft)2(2ft)

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A company that manufactures storage bins for grains made a drawing of a silo. The silo has a conical base, as shown below: Which of the following could be used to calculate the total volume of grains that can be stored in the silo? π(8.5ft)2(2ft) + one over threeπ(2ft)2(13ft − 8.5ft) π(2ft)2(8.5ft) + one over threeπ(2ft)2(13ft − 8.5ft) π(8.5ft)2(2ft) + one over threeπ(13ft − 8.5ft)2(2ft) π(2ft)2(8.5ft) + one over threeπ(13ft − 8.5ft)2(2ft)

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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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does (2ft)2 mean 2 feet squared?
- just making sure

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yes
Ok the volume of the cylindrical part = π r^2 h where r = radius (which is half the diameter) and h = height
and the volume of the cone = (1/3) π r^2 h where r=radius and h = height
now check out the diagram to find these values and plug them into the above formulas
okay im thinking a or b
ok but try and work the formula out radius = 1/2 * 4 = 2 and height of the cylinder = 8.5 what is the height of the cone?
cylinder = π r^2 h = π * 2^2 * what ?
im finding the volume of the cylinder?
yes what comes after the 2^2?
h right what is h?
the volume would be 106.81
h is height
yes and h = ?
8.5**
right vol of cyl = π* 2^2 * 8
right
and volume of the cone = 1/3 π 2^2 * h and h = difference (13 - 8.5) so which of the choices is correct?
the volumes of the cyl and cone are of course added together
have a close look at a and b. It is one of those Which one?
putting the volumes together we have π* 2^2 * 8.8 + 1/3 π 2^2 * (13 - 8.5)
a or b?
oh a typo - that should be 8.5 not 8.8
a?
a is π* 8.5^2 * 2 + 1/3 π 2^2 * (13 - 8.5)
check this against what we worked out
is 8.5 the radius and 2 the height??
i gotta go right now - check out my posts i'm sure you can work it out

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