What is the exact volume of the cone in terms of pi?
A) 5760 m
B) 41472 m
C) 23040 m
D) 3456 m

Answer:
D) 3456 m
Step-by-step explanation:
Diameter of the cone = 48 m
Hence radius of the cone = [tex]\[\frac{48}{2}\][/tex] = 24 m
Height of the cone = 18 m
Volume of a cone is given as [tex]\[\frac{1}{3}*pi*radius^{2}*height\] [/tex]
= [tex]\[\frac{1}{3}*pi*24^{2}*18\] [/tex]
= [tex]\[\frac{1}{3}*pi*10368\] [/tex]
= [tex]\[pi*3456\] [/tex]
Hence among the given options, option D is the correct one.