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,

$V=\frac{1}{3}\cdot A\cdot h$

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

$\begin{gathered} 10=\frac{1}{3}\cdot10\cdot h \\ h=10\cdot\frac{3}{10} \\ =3 \end{gathered}$

So height of the cone is 3.