Question

Estimate the volume of juice in ounces that the cylinder will hold. Round to the nearest tenth of an ounce. (Hint: 1 in3 ≈ 0.55 oz.)

Answer 1

https://courseplayer.avalearning.com/NeutralLMS/coursefiles/Questions/847684/straw2.png

Answer 2

Do they tell you the length of the straw somewhere?

Answer 3

Volume of the cylinder \(\Large V = \pi r^2h\)
\(\Large r = 2\). We need h. We can find h if we know the length of the straw.

Answer 4

the length of the straw is 6 inches in total.

Answer 5

and i tried to plug it all in the equation there was no answer like that

Answer 6

h^2 + 4^2 = 5^2
h^2 + 16 = 25
h^2 = 25 - 16 = 9
h = 3

V = pi * r^2 * h = pi * 2^2 * 3 = 12pi

Answer 7

h=3

Answer 8

V = 12 * pi = 37.70 in^3
1 in^3 = 0.55 oz
37.70 in^3 = 37.7 * 0.55 = 20.7 oz.

Answer 9

ohh ok thanks thas what i just got right now too!!

Answer 10

Cool. You are welcome.

Answer 11

do you mind helping me on one more plz?

Answer 12

I can try one more.

Answer 13

Estimate the volume of juice in ounces that the prism will hold. Round to the nearest tenth of an ounce. (Hint: 1 in3 ≈ 0.55 oz.)

Answer 14

https://courseplayer.avalearning.com/NeutralLMS/coursefiles/Questions/847689/straw3.png

Answer 15

im thinking that the straw length would also be the same

Answer 16

Find the height of the prism using the same method we used before.

Then, volume of the prism = 3 x 3 x h in^3

Use the conversion factor of 0.55 to convert in^3 to oz.

Answer 17

Finding the height is a bit trickier than before.
Find the diagonal length of the bottom square first.

Answer 18

i got 19.8 but it also want s me to round

Answer 19

to the nearest tenth

Answer 20

What was the height of the prism that you got?

Answer 21

9

Answer 22

That may not be correct.

In my diagram above, AC^2 = 3^2 + 3^2 = 9+9 = 18

Then for the prism, AC^2 + h^2 = 5^2 (assume the length of the straw inside the prism is 5 in.) So 18 + h^2 = 25. h^2 = 25 - 18 = 7. h = sqrt(7).

Volume of prism = 3 x 3 x sqrt(7) = 23.81 in^3

1 in^3 = 0.55 oz
23.81 in^3 = 23.81 * 0.55 = 13.1 oz.

Answer 23

DUDE ITS LIKE EINSTEIN WAS REBORN AGAIN!! UR A GENIUS THANKS MAN!!!

Answer 24

lol. You are welcome.