Question

Mona filled the glasses shown below completely with water. The total amount of water that Mona poured into the glasses is 100 cubic centimeters. What is the height of glass 1? Round your answer to the nearest tenth. (Use π = 3.14.) Note that all measurements are in centimeters and images are not drawn to scale.

2.6 centimeters
4.8 centimeters
5.6 centimeters
7.4 centimeters

https://gyazo.com/e9dfaf4f57b967cf13da7ccdc6c36e3e

Answer 1

"total amount of water poured is 100cm cubed"

so volume of glass 1 + volume of glass 2 = 100, with me so far?

Answer 2

I think so yeah

Answer 3

good, now lets find the volume of glass 2. know where to start?

Answer 4

Not really I suck at volume omo

Answer 5

glass 2 is a cone, so we use the formula

volume = (1/3)(radius)*(radius)*(pi)*(height)

Answer 6

first find the radius of glass 2

Answer 7

6/2=3 so the radius must be 3

Answer 8

good, and the height is 5.2, so now find the volume.

Answer 9

radius x radius???

Answer 10

I already gave you the formula

Answer 11

volume = (1/3)(radius)*(radius)*(pi)*(height)

Answer 12

I know I'm asking if I multiply the radius by itself

Answer 13

yes

Answer 14

147.02653618800232356005171033748 <using calc>

Answer 15

But I need to find 1/3 of that omo

Answer 16

just divide by 3...

Answer 17

Ikt.

Answer 18

49.00884539600077452001723677916

Answer 19

BUT that's not an answer

Answer 20

we're not done yet...

Answer 21

I figured xp

Answer 22

also, you don't need all those digits at the end. let's round that to 49.00

Answer 23

Ok

Answer 24

so, volume 2 = 49, which means that volume 1 = 100-49 = 51, with me so far?

Answer 25

Mhm

Answer 26

ok, now we need the volume of a cylinder since glass 1 is a cylinder

Answer 27

volume = (pi)*(radius)*(radius)*(height)

51 = (pi)(radius)(radius)(height)

plug in the radius and find height

Answer 28

(notice that the radius of glass 2 is different than glass 1)

Answer 29

I do notice that, give me a second