Glass 1 is a right circular cylinder and Glass 2 is a cone. The total volume of water in both the glasses is 100 centimeters cubed. Some given dimensions are:
Right Circular Cylinder:
diameter = 5, thus radius is half of that, radius = cm
height = we need to find
(Note: Formula for volume, V, is )
Cone:
diameter = 6, thus radius is half of that, radius = cm
height = 5.2 cm
(Note: Formula for volume, V, is )
Now adding the 2 volumes and equating to 100, and then solving for h will give us our answer (we will use π as 3.14). Let's do this.
pir^2+1/3pir^2h=100
(3.14)(2.5)^2h+1/3(3.14)(3)^2(5.2)=100
19.625h+48.984=100
19.625h=51.016
h=51.016/19.625=2.60 cm
Hence height of glass 1 is 2.60
2.63 cm
