Question

what is the volume of a cone with the diameter 12 CM in height 4 cm

Answer 1

The formula for the volume of a cone is

$V=\pi\cdot r^2\cdot\frac{h}{3}$

to find the radius divide the diameter by 2

$\begin{gathered} r=\frac{D}{2} \\ r=\frac{12}{2} \\ r=6 \end{gathered}$

replace all data in the formula

$\begin{gathered} V=\pi\cdot(6^2)\cdot\frac{4}{3} \\ V=\pi\cdot36\cdot\frac{4}{3} \\ V=(48\pi)cm^3^{} \end{gathered}$