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2 years ago

A cone has a radius of 24 cm and a volume of 1,920 cm cubed. What is the Volume of a similar cone with a radius of 18 cm?

1 answer:

8 0

24 * 3/4 = 18

The radius of smaller cone is 3/4 the radius of original cone, so since these cones are similar, height must also be 3/4 times smaller.

So since radius is squared and we also multiple the height (V = 1/3 π r² h),
the volume of smaller cone would be 3³ / 4³ = 27 / 64 times smaller

So we have 1920 * (27 / 64) = 810.

Final answer: B

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2 years ago

Put this into Slope Intercept Form<br> x + 6y = –6

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$y=-\frac{x}{6} -1$

Step-by-step explanation:

Hi there!

We are given the following equation:
x+6y=-6

And we want to convert it into slope-intercept form

Slope-intercept form is known as y=mx+b, where m is the slope and b is the y intercept

The equation is currently in standard form, which is ax+by=c, where a, b, and c are integer coefficients

Notice how in standard form, both the terms that contain x and y are on one side, but in slope-intercept form, y is by itself on one side

So essentially, in order to convert from standard form to slope-intercept form, we need to solve for y

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x+6y=-6

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-x -x

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Now divide both sides by 6

$y=-\frac{x}{6} -\frac{6}{6}$
We can simplify the fractions to become:

$y=-\frac{x}{6} -1$
Hope this helps!

See more on converting from standard to slope-intercept form here: brainly.com/question/26579052

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