Question

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 1

D) 3456 m

Explanation:

Diameter of the cone = 48 m

Hence radius of the cone =
`\[(48)/(2)\]` = 24 m

Height of the cone = 18 m

Volume of a cone is given as
`\[(1)/(3)*pi*radius^(2)*height\]`

=
`\[(1)/(3)*pi*24^(2)*18\]`

=
`\[(1)/(3)*pi*10368\]`

=
`\[pi*3456\]`

Hence among the given options, option D is the correct one.