Question

Find the height of the liquid in the glass pictured. Show all steps.

Answer 1

Answer:

6.32 cm.

Step-by-step explanation:

We can see that the given glass is in form of a cone.

To find the height of liquid in glass we will use formula:

$h=\sqrt{l^2-r^2}$, where,

h= Height of cone.

l= Slant height of cone.

r= Radius of cone.

We can see from our figure that diameter of cone is 6 cm, so radius of cone will be half of 6 cm, that is 3 cm.

We have been given slant height equals to 7 cm.

Let us substitute our values in above formula to find the height of liquid in the glass.

$\text{Height of liquid in the glass}=\sqrt{7^2-3^2}$

$\text{Height of liquid in the glass}=\sqrt{49-9}$

$\text{Height of liquid in the glass}=\sqrt{40}$

$\text{Height of liquid in the glass}=6.3245553203367587\approx 6.32$

Therefore, the height of liquid in the glass is 6.32 cm.