Question

Celia filled the glasses shown below completely with water. The total amount of water that Celia poured into the glasses is 80 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.

Answer 1

the height of glass 1 is 7.6
so, you find the volume of glass 2,= 26.376
then you subtract the answer from 80 cubic cm to get the volume of glass 1
80 - 26.376 = 53.694
then you work backwards to get the height, which is 7.6

Answer 2

The height of glass 1 is 7.6 cm.

Explanation:

We can see that glass 1 is a cylinder whose volume is given by :

`V=\pi r^(2) h`

its r =
`3/2=1.5`

h = ?

The second glass is a cone with h = 6.3 and r =
`4/2=2`

Volume is given as :

`\pi r^(2) (h)/(3)`

=>
`3.14*2*2*(6.3)/(3)`

V = 26.38 cubic cm

Given is :

The total amount of water that Celia poured into the glasses is 80 cubic centimeters.

This means she poured
`80-26.38=53.62` cubic cm of water in cylindrical glass. Solving for 'h'

`53.62=3.14*1.5*1.5* h`

`7.065h=53.62`

h = 7.6 cm

Therefore, the height of glass 1 is 7.6 cm.