Answer : The correct option is, (c) [tex]\frac{160}{3}\pi cm^3[/tex]
Step by step explanation : Given,
Radius of the cone (r) = 4 cm
Height of the cone (h) = 10 cm
Formula used for the volume of the cone :
[tex]V=\frac{1}{3}\pi \times r^2\times h[/tex]
where,
V = volume of the cone
r = radius of the cone
h = height of the cone
Now put all the given values in this formula, we get the volume of cone.
[tex]V=\frac{1}{3}\pi \times (4cm)^2\times (10cm)=\frac{160}{3}\pi cm^3[/tex]
Therefore, the volume of the cone is, [tex]\frac{160}{3}\pi cm^3[/tex]
