Question

a Dairy Farmer uses a storage Silo that is the shape of a right cylinder below if the volume of the silo is 72 cubic yards what is the diameter of the base of the cylinder in yards

Answer 1

The volume of a cylinder is given by:

`V=\pi\cdot r^2\cdot h`

where:

r = radius

h = height = 8yd

V = 72π

so:

`\begin{gathered} 72\pi=\pi_{}\cdot r^2\cdot8 \\ \end{gathered}`

solve for r:

`\begin{gathered} r^2=(72\pi)/(8\pi) \\ r^2=9 \\ r=\sqrt[]{9} \\ r=3 \end{gathered}`

Since the diameter is equal to:

`\begin{gathered} d=2r \\ d=2\cdot3 \\ d=6 \end{gathered}`

Answer:

6yd