Question

Find the volume of a cone with a diameter of 11 mm and a height of 11.2 mm

Answer 1

`354.6\text{ }mm^3`

Step-by-step explanation

The volume of a cone is given by:

`V=(1)/(3)\pi *r^2*h`

where r = radius of the base of the cone

h = height of the cone

To find the radius of the cone, we have to find half of its diameter:

`\begin{gathered} r=(1)/(2)*11 \\ r=5.5\text{ }mm \end{gathered}`

Therefore, the volume of the cone is:

`\begin{gathered} V=(1)/(3)*3.14*5.5^2*11.2 \\ V=354.6\text{ }mm^3 \end{gathered}`

That is the answer.