What is the exact volume of the cone?
80π ft³
4003π ft³
400π ft³
418710π ft³

Answer:
Option (b) is correct.
The volume of given cone is [tex]\frac{400){3}\pi[/tex]
Step-by-step explanation:
Given: A cone with radius 5 ft anf height 16 ft.
We have to calculate the volume of the cone.
Volume of cone = [tex]\frac{1){3}\cdot \pi\cdot r^2 \cdot h[/tex]
Given radius = 5 ft
Height = 16 ft
Substitute, we get,
Volume of cone = [tex]\frac{1){3}\cdot \pi\cdot (5)^2 \cdot 16[/tex]
Simplify, we get,
Volume of cone = [tex]\frac{1){3}\cdot \pi\cdot 25\cdot 16[/tex]
Volume of cone = [tex]400\frac{1){3}\cdot \pi[/tex]
Thus, the volume of given cone is [tex]\frac{400){3}\pi[/tex]