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-BARSIC- [3]
3 years ago
6

A round silo is 55 feet tall and has a 24 foot radius. How high would a load of 38000 cubic feet of grain fill the silo?

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
6 0

Find the volume of the silo.

The formula is: Volume =  PI x r^2 x h

Replace volume with the volume of grain and solve for h:

38000 = 3.14 x 24^2 x h

38000 = 3.14 x 576 x h

38000 = 1808.64 x h

Divide both sides by 1808.64

h = 38000 / 1808.64

h = 21.01

The grain would be 21.01 feet ( round to 21 feet.)

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Answer:

Missing co-ordinate for the ordered pair is (7,2834)

Y-intercept is (0,4682)

X-intercept is (17.73,0)

Step-by-step explanation:

The number of a certain company's video stores can be approximated by the linear equation

y= -264\ x+4682

where y is the number of stores and x represents the number of years after 1990.

To find the missing co-ordinate for the ordered pair solution (7,?)

For the ordered pair, we are given the x value which is =7 i.e 7 years after 1990. Thus we will plugin x=7 in the linear equation to get the y value which is number of stores after 7 years from 1990.

y= -264\ (7)+4682

y= -1848+4682

y= 2834

Thus the ordered pair is (7,2834)

To find y-intercept which is the point where the line touches the y-axis, we would plugin x=0 in the equation as the x-coordinate is 0 at y-axis.

y= -264\ (0)+4682

y= 0+4682

y=4682

Thus y-intercept is at point (0,4682)

To find x-intercept which is the point where the line touches the x-axis, we would plugin y=0 in the equation as the y-coordinate is 0 at x-axis and thus for x

0= -264\ x+4682

Subtracting both sides by 4682.

0-4682= -264\ x+4682-4682

-4682= -264\ x

Dividing both sides by -264

\frac{-4682}{-264}= \frac{-264\ x}{-264}

17.73= x

∴ x=17.73

Thus x-intercept is at point (17.73,0)

5 0
3 years ago
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