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FrozenT [24]
3 years ago
7

Two similar cylinders have a scale factor of 1.6/3. Find the ratio of their volumes. Answer must be in fraction form.

Mathematics
1 answer:
Anna [14]3 years ago
5 0
Volume of cylinders = pi x r^2 x height  Simplifying the ratio: 1.6/3 = 16 / 30 (multiply and divide by 10 to remove the decimal)  Volume Ratio = 512:27
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There are 3 ways of solving a simultaneous problem, substitution method, elimination method and Gauss-Jordan method. I'm gonna use the substitution method since it's easier and i think it would suit your level more.

First let's try solving for y since it's easier to start with.

Firstly we have to find an equation for x:

x-2y=2\\x-2y+2y=2+2y\\x=2+2y

Great, now we can use the substitution method to find the value of y using the first equation:

2x+3y=11\\2(2+2y)+3y=11\\4+4y+3y=11\\7y=7\\y=1

Now we know that y=1 we can solve the first equation we made:

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And the answer is x=4 , y= 1\\(4,1)

Double check:

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3 years ago
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blondinia [14]

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likoan [24]

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Distributive property.

y - 3 = -1/4x - 3/4

Multiply all terms by 4.

4y - 12 = -x

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3 years ago
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solong [7]

The ratios 47/96 and 47:96 are appropriate here.

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3 years ago
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