A company that manufactures storage bins for grains made a drawing of a silo. The silo has a conical base, as shown below. The figure shows a silo shaped as a closed cylinder with a conical end. The diameter of the silo is 4 ft, the length of the cylindrical part is 10 ft, and the entire length of the silo is 13 ft.
What is the total volume of grains that can be stored in the silo?
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OpenStudy (anonymous):
ganeshie8 (ganeshie8):
total volume = volume of conical base section + volume of cylinder section
OpenStudy (anonymous):
k.....
OpenStudy (anonymous):
then what?
ganeshie8 (ganeshie8):
in the question it is given :
total height is 13 ft
cylinder height is 10 ft
can we figure out the height of cone now ?
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OpenStudy (anonymous):
yes...
OpenStudy (anonymous):
since the height of the cone is 3 feet?
ganeshie8 (ganeshie8):
wow.. u see it very clearly.. good :)
OpenStudy (anonymous):
k
OpenStudy (anonymous):
so
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ganeshie8 (ganeshie8):
so.. lets proceed with plugging in numbers in volume formula
OpenStudy (anonymous):
the volume of the cylinder is
OpenStudy (anonymous):
40 pie
ganeshie8 (ganeshie8):
correct !!
OpenStudy (anonymous):
and the volume of the cone is approximately 12.5664 ft
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OpenStudy (anonymous):
so the answer is 44 pie
OpenStudy (anonymous):
when the quantities are added together
OpenStudy (anonymous):
correct?
ganeshie8 (ganeshie8):
correct..!!
here u converted pi also into numbers and multiplied.
if we leave pi, the exact value is \[4\pi\]
OpenStudy (anonymous):
k
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OpenStudy (anonymous):
that one was not too bad
ganeshie8 (ganeshie8):
correct... \[44\pi\]
i didnt see ur reply... u r light speed... lol !!
OpenStudy (anonymous):
can we do another?
OpenStudy (anonymous):
I'm taking online classes
ganeshie8 (ganeshie8):
sure.. :)
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OpenStudy (anonymous):
I have a deadline to finish 3 tests and a final in a week
OpenStudy (anonymous):
thats why I have to go quick
OpenStudy (anonymous):
and get my A's
ganeshie8 (ganeshie8):
oh ok.. cool... all the very best :)
OpenStudy (anonymous):
k
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