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Sonbull [250]
4 years ago
5

V=1/3pie r^2 hail was for r I’ll give you 30 points

Mathematics
1 answer:
Gnesinka [82]4 years ago
5 0

Answer:

r = √3v/π

Step-by-step explanation:

in order to make r the subject of formulae from

v = 1/3πr²

multiply through by 3

3(v) = 3 ( πr²/3)

3v = πr²

divide both sides by π

3v/π =πr²/π

3v/π= r²

in order to make r stand out we would do that by squaring both sides

r = √3v/π

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What is the length of SR ?<br><br><br> 9 units<br> 12 units<br> 15 units<br> 18 units
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Answer:  THe correct option is (C) 15.

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Using Pythagoras theorem in triangle RTQ, we have

RQ^2=RT^2+TQ^2\\\\\Rightarrow RT=\sqrt{RQ^2-TQ^2}\\\\\Rightarrow RT=\sqrt{20^2-16^2}\\\\\Rightarrow RT=\sqrt{144}\\\\\Rightarrow RT=12.

Now, since RT is perpendicular to the hypotenuse of ΔRST, so we get

ST\times TQ=RT^2\\\\\Rightarrow RS\times 16=144\\\\\Rightarrow RS=\dfrac{144}{16}\\\\\Rightarrow RS=9.

Again, using Pythagoras theorem in right-angled triangle RST, we get

SR^2=RT^2+ST^2\\\\\Rightarrow SR=\sqrt{144+81}\\\\\Rightarrow SR=\sqrt{225}\\\\\Rightarrow SR=15.

Thus, the length of SR is 15 units.

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4 years ago
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Answer:

A

Step-by-step explanation:

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