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Andreas93 [3]
4 years ago
8

Can someone help me with this.

Mathematics
1 answer:
Jobisdone [24]4 years ago
5 0

Answer:

h = 3997.19 cm³

Step-by-step explanation:

So, I am guessing that's a cylinder lol..

The volume of a cylinder is:  V=πr2h

30,536.28=πr2h

d=36 or r=18

2) 30,536.28=π(6)(2)h

3) Simplify:  30,536.28=π(12)h

4) Divide both sides by 12π

5) h = 7994.28 cm³ of both, but for you divide by two

6) h = 3997.19 cm³

..Wow that was a lot XD

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Find k so that the distance from (–1, 1) to (2, k) is 5 units.
velikii [3]

Answer:

k = -3 or 5

Step-by-step explanation:

The given parameters are;

The line extends from points (-1, 1) to point (2, k)

The length of the line = 5 units

The formula for the length, l, of a line given its coordinates can be  found by the following formula;

l = \sqrt{\left (y_{2}-y_{1}  \right )^{2}+\left (x_{2}-x_{1}  \right )^{2}}

Therefore, we have;

5 = \sqrt{\left (k-1 \right )^{2}+\left (2-(-1)  \right )^{2}}

Which, by squaring both sides, gives;

25 = (k - 1)² + (2 - (-1))² = (k - 1)² + (2 + 1)² = (k - 1)² + 3²

25 = (k - 1)² + 3² = k² - 2·k + 1 + 9

25 - 25 = 0 = k² - 2·k + 1 + 9 - 25 = k² - 2·k - 15

0 = k² - 2·k - 15

0 = (k +3) × (k - 5)

Therefore, k = -3 or 5

When k - -3, we have;

\sqrt{\left ((-3)-1 \right )^{2}+\left (2-(-1)  \right )^{2}}= \sqrt{(-4)^2+3^2} = \sqrt{16 + 9}  = \sqrt{25} = 5

When k = 5, we have;

\sqrt{\left (5-1 \right )^{2}+\left (2-(-1)  \right )^{2}}= \sqrt{4^2+3^2} = 5

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3 years ago
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Step-by-step explanation:

11^-4  / 11 ^ 8

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