Mathematics: Trey had a cylindrical can with a radius of 4 inches and a height of 12 inches that was completely full of beet juice. he poured the juice into cylindrical glasses that each had a radius of 2 inches and a height of 8 inches, filling 3 4 of each glass. if he emptied the can, how many glasses of juice did he have? show your work.

Trey had a cylindrical can with a radius of 4 inches

Ответ:

amirahpeters

16.01.2022

Mathematics

$8\ glasses\ of\ juice$

Step-by-step explanation:

step 1

Find the volume of the cylindrical can

The volume of the cylinder is equal to

$V=\pi r^{2}h$

we have

$r=4\ in\\ h=12\ in$

substitute the values

$V=\pi (4)^{2}(12)=192\pi\ in^{3}$

step 2

Find the volume of the cylindrical glasses

The volume of the cylinder is equal to

$V=\pi r^{2}h$

we have

$r=2\ in\\ h=8\ in$

substitute the values

$V=\pi (2)^{2}(8)=32\pi\ in^{3}$

Find the volume of 3/4 of the glass

$32\pi (\frac{3}{4})=24\pi\ in^{3}$

step 3

Divide the total volume of cylindrical can by the 3/4 volume of the glass

$192\pi\ in^{3}/24\pi\ in^{3}=8\ glasses\ of\ juice$

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Ответ:

neariah24

21.01.2020

Mathematics

Y-intercept:

Plug in 0 for 'x' to find the y-intercept:

7x - 3y = 21

7(0) - 3y = 21

0 - 3y = 21

-3y = 21

Divide -3 to both sides:

y = -7

So the y-intercept is -7.

x-intercept:

7x - 3y = 21

Plug in 0 for 'y' to find the x-intercept.

7x - 3(0) = 21

7x - 0 = 21

7x = 21

Divide 7 to both sides:

x = 3

So the x-intercept is 3.

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