Answer:
The height of glass 1 is 7.6 cm.
Step-by-step explanation:
We can see that glass 1 is a cylinder whose volume is given by :
[tex]V=\pi r^{2} h[/tex]
its r = [tex]3/2=1.5[/tex]
h = ?
The second glass is a cone with h = 6.3 and r = [tex]4/2=2[/tex]
Volume is given as :
[tex]\pi r^{2} \frac{h}{3}[/tex]
=>[tex]3.14\times2\times2\times\frac{6.3}{3}[/tex]
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 [tex]80-26.38=53.62[/tex] cubic cm of water in cylindrical glass. Solving for 'h'
[tex]53.62=3.14\times1.5\times1.5\times h[/tex]
[tex]7.065h=53.62[/tex]
h = 7.6 cm
Therefore, the height of glass 1 is 7.6 cm.
