Two cylinders. The smaller cylinder has height labeled as 6 cm. The larger cylinder has height labeled as 18 cm.

Mathematics

1 answer:

Yakvenalex [24]3 years ago

8 0

Answer: first option.

Step-by-step explanation:

You know that the height of the smaller cylinder is 6 cm and the height of the larger cylinder is 18 cm, then you can find the volume ratio. This is:

$Volume\ ratio=(\frac{6cm}{18cm})^3\\\\Volume\ ratio=\frac{1}{27}$

Knowing that the volume of the larger cylinder is 40,635 cubic centimeters, you need to multiply it by the volume ratio to find the volume of the smaller cylinder.

Therefore:

$V_{smaller}=\frac{1}{27}(40,635\ cm^3)\\\\V_{smaller}=1,505\ cm^3$

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What is the equation of a line passing through the points (-3,<br> -2) and (2, 0)?

Lostsunrise [7]

Answer:

$y=0.400x+-0.800$

Step-by-step explanation:

Given the following question:

point A = (-3, -2)
point B = (2, 0)

To write the equation of the line that passes through two points we have to write the points in slope intercept form.

Formula for slope intercept:

$y=mx+b$

M is equal to the slope of the two points, so first we need to fine the slope of the two points.

$(-3,-2)=(x1,y1)$
$(2,0)=(x2,y2)$

$m=\frac{y2-y1}{x2-x1}$
$m=\frac{0--2}{2--3} =\frac{2}{5}$
$m=\frac{2}{5} =0.400$

$y=mx+b$
$y=-2$
$m=0.400$
$x=-3$
$-2=0.400(-3)+b$
$0.400\times-3=-1.20$
$-2+1.2=-0.800$
$b=-0.800$

$y=0.400x+-0.800$

Hope this helps.