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Answer:

Option (b) is correct.

The volume of given cone is \(\frac{400){3}\pi\)

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 = \(\frac{1){3}\cdot \pi\cdot r^2 \cdot h\)

Given radius = 5 ft

Height = 16 ft

Substitute, we get,

Volume of cone = \(\frac{1){3}\cdot \pi\cdot (5)^2 \cdot 16\)

Simplify, we get,

Volume of cone = \(\frac{1){3}\cdot \pi\cdot 25\cdot 16\)

Volume of cone = \(400\frac{1){3}\cdot \pi\)

Thus, the volume of given cone is \(\frac{400){3}\pi\)