Answer:
Glass A is too small, Glass B is large enough and Glass C is too small ....
Step-by-step explanation:
Glasses are cylindrical in shape. Thus the formula is:
V = π r² h
For Glass A:
r = d/2 = 3.5/2
r = 1.75
h = 4 inches
Now substitute the values in the formula:
V= 3.14*(1.75)^2 * 4
V= 3.14*3.0625*4
V= 38.465 in.³ < 50in.³
For Glass B:
V = π r² h
where h = 5 inches
r = 1.9 inches
Plug the values in the formula:
V=3.14*(1.9)^2*5
V= 56.677 in³ > 50in³
For Glass C:
V = π r² h
where h=6 inches
r = 1.5 inches
Plug the values in the formula:
V= 3.14*(1.5)^2*6
V= 42.39 in³ < 50 in³
Therefore Glass A is too small, Glass B is large enough and Glass C is too small ....
Answer:
Glass A is too small.
Glass B is large enough.
Glass C is too small.
Step-by-step explanation:
Assuming that the glasses are cylindrical, we need to use the following formula for calculate volume of a cylinder:
[tex]V=\pi r^2h[/tex]
Where "r" is the radius and "h" is the height.
Now, we can calculate the volume of each glass:
Glass A
We know that:
[tex]r=\frac{3.5in}{2}=1.75in\\\\h=4in[/tex]
Then (Using [tex]\pi=3.14[/tex]):
[tex]V_A=3.14(1.75in)^2(4in)=38.46in^3[/tex]
Glass A is too small.
Glass B
We know that:
[tex]r=1.9in\\\\h=5in[/tex]
Then (Using [tex]\pi=3.14[/tex]):
[tex]V_B=3.14(1.9in)^2(5in)=56.67in^3[/tex]
Glass B is large enough.
Glass C
We know that:
[tex]r=1.5in\\\\h=6in[/tex]
Then (Using [tex]\pi=3.14[/tex]):
[tex]V_C=3.14(1.5in)^2(6in)=42.39in^3[/tex]
Glass C is too small.
