Question

One cup is equal to 14.4375 in^3. If a 1-cup measuring cylinder has a radius of 3 in., what is its height? If

Answer 1

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 $\pi r^2 h$

Given that,

The volume of the cup is 14.4375 in³.

If the measuring cup has a radius of 3 in.

Then,

$\pi r^2h=14.4375$

Plug r= 3 in.

$\pi (3)^2h=14.4375$

$\Rightarrow h=\frac{14.475}{9\pi }$

⇒h=0.51 in.

The height of the cup is 0.51 in.

If it has radius of 1 in.

Then,

$\pi r^2h=14.4375$

Plug r= 1 in.

$\pi (1)^2h=14.4375$

$\Rightarrow h=\frac{14.475}{1\pi }$

⇒h=4.59 in.

The height of the cup is 4.59 in.