Question

an agricultural engineer is designing a commercial fishery that will raise tilapia. The fishery will have a cylindrical aquaculture tanks with the dimensions of 10ft at the widest point and 4ft in height. What is the volume of the tank?

Answer 1

Given:

The diameter of a cylindrical aquaculture tank = 10 ft

Height = 4 ft

To find:

The volume of the tank.

Solution:

We have,

Height = 4 ft

Diameter = 10 ft

Radius is half of the diameter.

Radius = 5 ft

Volume of a cylinder is:

`V=\pi r^2h`

Where, r is the radius and h is the height.

Putting
`r=5, h=4` in the above formula, we get

`V=\pi (5)^2(4)`

`V=\pi (25)(4)`

`V=100\pi`

Therefore, the volume of the tank is
`100\pi` cubic ft. Its approximate value is 314.16 cubic feet.