Question

If the volume of a cone is 10, what is its height if the area of the base is 10m ^2

Answer 1

The area of base is A = 10 m^2.

The volume of cone is V = 10.

The formula for the volume of cone in terms of area of base is,

`V=(1)/(3)\cdot A\cdot h`

Substitute the values in the formula to determine the height of cone.

`\begin{gathered} 10=(1)/(3)\cdot10\cdot h \\ h=10\cdot(3)/(10) \\ =3 \end{gathered}`

So height of the cone is 3.