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olya-2409 [2.1K]
4 years ago
14

The height of a cylinder with a fixed radius of 4 cm is increasing at the rate of 2 cm/min. Find the rate of change of the volum

e of the cylinder (with respect to time) when the height is 14cm.
16π
28π
32π
None of these

Mathematics
2 answers:
olasank [31]4 years ago
5 0
It is 32 look at the pic

Anestetic [448]4 years ago
4 0
The correct answer is 32
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Angles LNM and MNI are supplementary, so their measures sum to 180°. This means

∡ LNM + ∡ MNI = 180°

∡ LNM = 180° - (19<em>x</em> + 2)°

The sum of the interior angles of any triangle is also 180°, so

∡ LNM + ∡ NML + ∡ MLN = 180°

(180° - (19<em>x</em> + 2))° + (15<em>x</em> - 2)° + (6<em>x</em>)° = 180°

Solve for <em>x</em> (I'll omit the degree symbol):

180 - 19<em>x</em> - 2 + 15<em>x</em> - 2 + 6<em>x</em> = 180

2<em>x</em> - 4 = 0

2<em>x</em> = 4

<em>x</em> = 2

Then ∡ MNI = (15•2 - 12)° = (30 - 12)° = 18°.

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3 years ago
Fill in the blanks to make the solution correct. <br> 3 3/4-_* _/8=2
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