Question

A company that manufactures storage bins for grains made a drawing of a silo. The silo has a conical base, as shown below

Answer 1

What is the total volume of grains that can be stored in the silo?

58π ft3

40π ft3

23π ft3

36π ft3

Answer 2

There's two parts to the silo, the cylinder and the cone, so calculate the volume of each and take the sum.

Volume of Cylinder: \[V=\pi r^2h=\pi (2)^2(8.5)=34\pi\]
Volume of Cone: \[V=(1/3)\pi r^2 h = (1/3)\pi (2)^2 (13-8.5)=\pi(4/3)(4.5)=6\pi\]
Total Volume: \[34\pi + 6\pi = 40\pi\]

Answer 3

thanks(: