A cone has a volume of 12 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?

Mathematics

1 answer:

Nastasia [14]3 years ago

8 0

Volume of a cone = 1/3 r² π h
Volume of a cylinder = r² π h = 3 · V ( cone ) = 3 · 12 = 36 in³

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(5,1); m=2 write an equation of the line

gtnhenbr [62]

Hey there! :)

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Slope-intercept equation : y = mx + b ; where m=slope, b=y-intercept

Since we're already given the slope, all we really need to do is find the y-intercept.

We can do this by plugging our known values into the slope-intercept equation.

y = mx + b

Since we're trying to find "b," we need to plug in "y, m, x" into our formula.

(1) = (2)(5) + b

Simplify.

1 = 10 + b

Subtract 10 from both sides.

1 - 10 = b

Simplify.

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So, our y-intercept is 9!

Now, we can very simply plug our known values into slope-intercept form.

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y = 2x - 9 → final answer

~Hope I helped!~

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2 years ago

Which scatterplot has a correlation coefficient closest to r = 1?

qwelly [4]

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Step-by-step explanation:

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Therefore, to answer this question, one must search among the attached images for the dispersion diagram in which the points resemble a straight line with a positive slope.

The scatter diagram that meets the requirements mentioned is the first one that appears in the attached images