The mernard family has a grain farm. They own 5 bins for grain storage.

Each bin

+ is composed of a cone and a cylinder.

+ is 30 ft tall (from the top of the cone to the bottom of the cylinder)

+ has a diameter of 20 feet

+ has a cylinder 22 feet tall.

(Diagram is not drawn to scale)

a) Calculate the volume of one grain bin. Show your work.

b) Mr. Mernard would like to paint the exterior (top and sides) of the bins

+ each bin needs 2 coats of paint.

+ one can of paint covers 400 ft2

.

+ each can of paint costs $67.99 plus GST (5%) and PST ( 8%).

Calculate the cost of paint for the 5 bins. Show your work.