1) Paul wants to get a cone shaped tarp to cover his grain stockpile. The cone will have a diameter of 86 m and aheightof 27 m.

How much material is needed to create the tarp? Hint: you need to find the slant height of the cone. Record your answer to the nearest m2.

Use the insert math equation button(x)to answer the following questions. Be sure to show all of your work for full marks. You may wish to include explanations to make your work clear. Include units.

b) Using the information from the last question.

What is the volume of grain stockpile? Round to the nearest whole number.

c) What are the units on your answer from the last question?

2) Angela is painting a vase that is the shape of a cylinder. The vase has a radius of 4 cm and a height of 25 cm. She wants to paint the entire outside of the vase (base included).

What is the surface area of the painted area? Round your answer to the nearest whole number.

Hint: a vase has an open top.

b) From the question above, what is the unit of surface area?

3) Mikael is building a box that is a cube shape and has a side length of 3.5 ft. He is making it out of 1/4 inch plywood. This plywood comes in standard sheets that are 4 ft by 8 ft.Use the insert math equation button(x) to answer the following questions. Be sure to show all of your work for full marks. You may wish to include explanations to make your work clear. Include units.

a. What is the total surface area of the box?(2 marks)

b. How many sheets of plywood would Mikael need to create these boxes? (Hint: think about how he would cut the pieces, how many faces of the box can he fit on one sheet?) (1 mark)