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Mathematics 8 Online
OpenStudy (cntrl_alt_defeated):

HELP ME PLEASE MEDAL AND FAN A company that manufactures storage bins for grains made a drawing of a silo. The silo has a conical base, as shown below. What is the total volume of grains that can be stored in the silo? (5 points) Question 5 options: 1) 58π ft3 2) 40π ft3 3) 23π ft3 4) 36π ft3

OpenStudy (cntrl_alt_defeated):

OpenStudy (cntrl_alt_defeated):

Theres the pic of the diagram

OpenStudy (anonymous):

@sidsiddhartha

OpenStudy (anonymous):

@confluxepic @texaschic101

OpenStudy (cntrl_alt_defeated):

so anyone?

OpenStudy (confluxepic):

What do you think it is. @Cntrl_Alt_Defeated

OpenStudy (cntrl_alt_defeated):

i think its D

OpenStudy (cntrl_alt_defeated):

but im probably wrong

OpenStudy (sidsiddhartha):

awww the picture is still loading :(

OpenStudy (sidsiddhartha):

so first tell me what is volume of a cone and of a cylinder

OpenStudy (cntrl_alt_defeated):

v=3.14r2h

OpenStudy (cntrl_alt_defeated):

/3

OpenStudy (cntrl_alt_defeated):

i believe?

OpenStudy (sidsiddhartha):

yeah \[v_{cyl}=\pi r^2h\\v_{cone}=\frac{ \pi r^2h }{ 3 }\]

OpenStudy (confluxepic):

Yes. @Cntrl_Alt_Defeated I believe you are correct but let @sidsiddhartha explain it to make sure.

OpenStudy (sidsiddhartha):

now from the picture can u tell me what is the height of the cone?

OpenStudy (sidsiddhartha):

\[h_{cone}=13-8.5\] right?

OpenStudy (cntrl_alt_defeated):

yes 4.5

OpenStudy (sidsiddhartha):

so \[v_{cyn}=\pi.2^2.13\\and \\v_{cone}=\frac{ \pi.2^2 .(4.5)}{ 3 }\] right?

OpenStudy (cntrl_alt_defeated):

yep

OpenStudy (sidsiddhartha):

sorry for \[v_{cyl}=\pi 2^2.(8.5)\]

OpenStudy (sidsiddhartha):

because h(cylinder)=8.5

OpenStudy (sidsiddhartha):

now just add them and see what u get :)

OpenStudy (cntrl_alt_defeated):

i got 106.81

OpenStudy (sidsiddhartha):

no \[V_{cyn}+V_{cone}=\pi. 2^2.*8.5+\frac{ \pi 2^2.4.5 }{ 3 }=4 \pi(8.5+1.5)=40 \pi\]

OpenStudy (cntrl_alt_defeated):

oh oops i only did the cylinder

OpenStudy (sidsiddhartha):

:)

OpenStudy (cntrl_alt_defeated):

thnx

OpenStudy (sidsiddhartha):

yw!!

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