Answer:
(A) The volume of the cone is \(\frac{20}{3}{\pi}inches^3\).
Step-by-step explanation:
It is given that the cone has a height of 5 inches and the base has the diameter equals to 4 inches, therefore the radius of the cone can be obtained as:
\(Radius=\frac{Diameter}{2}\)
\(Radius=\frac{4}{2}=2\)inches
And height=5inches
Now, the volume of the cone is obtained as:
\(v=\frac{1}{3}{\pi}r^2h\)
Substituting the given values, we get
\(v=\frac{1}{3}{\pi}(2)^2(5)\)
\(v=\frac{20}{3}{\pi}inches^3\)
Thus, the volume of the cone is \(\frac{20}{3}{\pi}inches^3\).
Hence, option A is correct.
