(08.02 mc) a grain silo is shown below: grain silo formed by cylinder with radius 6 feet and height 168 feet and a half sphere on the top what is the volume of grain that could completely fill this silo, rounded to the nearest whole number? use 22 over 7 for pi.

19460 cubic feet

Step-by-step explanation:

Since we are given that Grain silo is formed by cylinder and a half sphere on top

We are required to find the volume of grain that could completely fill this silo

Formula of volume of cylinder :

Since we are given that the cylinder with which the silo is formed has height 168 feet and radius 6 feet

So, r = 6 feet

h = 168 feet

use π =22/7

Substituting these values in formula

Volume of cylinder

Thus the volume of cylinder is 19008 cubic feet.

Now since the silo is fomed of half sphere also

Formula of volume of sphere

Volume of half sphere

Since r = 6 feet

So, volume of half sphere  

Thus the volume of half sphere is 452.57 cubic feet.

Thus the volume of the grain = volume of cylinder +volume of half sphere

                                                =19008+452.57

                                                =19460.57 cubic feet

Hence  the volume of grain that could completely fill this silo is 19460 cubic feet ( rounded to the nearest whole number )

y < -3

step-by-step explanation:

-3y - 2 > 7

-3y -2 + 2 > 7+2

-3y > 9

-3y/-3 < 9/-3   (change the inequality sign when multiplying or dividing by a negative number)

y < -3