Answer:
Option (a) is correct.
The volume of cone with radius 4 cm and height 10 cm is 167.47 cm³
Step-by-step explanation:
Given : A Cone with Radius = 4 cm and Height = 10 cm.
We have to determine the volume of the cone and choose the correct from the given options.
We know,
Volume of cone = [tex]\frac{1}{3}\pi r^2h[/tex]
We have r = 4 cm
h = 10 cm
Thus, Volume of cone = [tex]\frac{1}{3}\pi \cdot 4^2\cdot 10[/tex]
Simplify, we have,
Volume of cone = [tex]\frac{1}{3}\pi \cdot 160[/tex]
Volume of cone = [tex]\frac{160}{3}\pi [/tex]
Using π = 3.14, we have,
Volume of cone = [tex]\frac{160}{3} \cdot 3.14=167.47[/tex]
Thus, The volume of cone with radius 4 cm and height 10 cm is 167.47 cm³
