Answer:
The height of the cup is 0.51 in.
The height of the cup is 4.59 in.
Step-by-step explanation:
The volume of the cylinder is [tex]\pi r^2 h[/tex]
Given that,
The volume of the cup is 14.4375 in³.
If the measuring cup has a radius of 3 in.
Then,
[tex]\pi r^2h=14.4375[/tex]
Plug r= 3 in.
[tex]\pi (3)^2h=14.4375[/tex]
[tex]\Rightarrow h=\frac{14.475}{9\pi }[/tex]
⇒h=0.51 in.
The height of the cup is 0.51 in.
If it has radius of 1 in.
Then,
[tex]\pi r^2h=14.4375[/tex]
Plug r= 1 in.
[tex]\pi (1)^2h=14.4375[/tex]
[tex]\Rightarrow h=\frac{14.475}{1\pi }[/tex]
⇒h=4.59 in.
The height of the cup is 4.59 in.
