Respuesta :
Given:
Diameter of the base 4 cm
Height of cone 6 cm
Find-:
The volume of a cone.
Explanation-:
Volume of cone is:
[tex]V=\frac{1}{3}\pi r^2h[/tex]Where,
[tex]\begin{gathered} V=\text{ Volume} \\ \\ r=\text{ Radius} \\ \\ h=\text{ Height} \end{gathered}[/tex]Diameter is 4 cm then the radius is:
[tex]\begin{gathered} r=\frac{D}{2} \\ \\ r=\frac{4}{2} \\ \\ r=2\text{ cm} \end{gathered}[/tex]So, the volume of a cone is:
[tex]\begin{gathered} V=\frac{1}{3}\pi r^2h \\ \\ V=\frac{1}{3}\times\pi\times(2)^2\times6 \\ \\ V=\frac{1}{3}\times\pi\times4\times6 \\ \\ V=\pi\times4\times2 \\ \\ V=8\pi \\ \\ V=8\times3.14 \\ \\ V=25.12\text{ cm}^3 \end{gathered}[/tex]The volume of a cone is 25.12 cm³
