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,
[tex]V=\frac{1}{3}\cdot A\cdot h[/tex]
Substitute the values in the formula to determine the height of cone.
[tex]\begin{gathered} 10=\frac{1}{3}\cdot10\cdot h \\ h=10\cdot\frac{3}{10} \\ =3 \end{gathered}[/tex]
So height of the cone is 3.
