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:

$\begin{gathered} r^2=\frac{72\pi}{8\pi} \\ r^2=9 \\ r=\sqrt[]{9} \\ r=3 \end{gathered}$

Since the diameter is equal to:

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

Answer:

6yd