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2 years ago

5. A silo was constructed at a farm in the shape of a right circular cylinder. It was built with an

Mathematics

1 answer:

MakcuM [25]2 years ago

8 0

Answer: 112 meters

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a cylinder (V) : π x radius ² x height

Replacing with the values given :

842,411 = π x r ² x 85

Solving for r:

842,411 / (π x 85) = r²

3,154.67 = r²

√3,154.67 = r

56.16 m = r

Finally, we have to multiply the radius by 2 to obtain the diameter:

56.16 x 2 = 112 meters

Feel free to ask for more if needed or if you did not understand something

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Given that line is passing through point (-5, 2) and (3, r)

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$\text { Slope } m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ --- eqn 1

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On substituting the given value in (1) we get

$\begin{array}{l}{-\frac{1}{2}=\frac{r-2}{3-(-5)}} \\\\ {\text { Solving the above expression to get value of } r} \\\\ {=>-\frac{1}{2}=\frac{r-2}{3+5}} \\\\ {=>-8=\frac{r-2}{3+5}} \\\\ {=>-8=2(r-2)} \\\\ {=>-8=2 r-4} \\\\ {=>2 r=-8+4} \\\\ {=>2 r=-4} \\\\ {=>r=\frac{-4}{2}=-2}\end{array}$

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