(06.02 MC) Ellis is painting wooden fenceposts before putting them in his yard. They are each 6 feet tall and have a diameter of 1 foot. There are 12 fenceposts in all. How much paint will Ellis need to paint all the surfaces of the 12 fenceposts? Use 3.14 for π, and round your answer to the nearest hundredth. Provide an explanation and proof for your answer to receive full credit.

(06.02 MC) Cylinder A has a radius of 8 inches and a height of 3 inches. Cylinder B has a volume of 96π. What is the percentage change in volume from cylinder A to cylinder B?

(06.01 HC) Pyramid A is a square pyramid with a base side length of 18 inches and a height of 9 inches. Pyramid B has a volume of 3,136 cubic inches. How many times bigger is the volume of pyramid B than pyramid A? Give your answer as a percentage. Provide an explanation and proof for your answer to receive full credit.

(07.03 LC) A circle is represented by the equation below: (x + 2)2 + (y − 4)2 = 225 Which statement is true?

(06.01 LC) The volume of a pyramid that fits exactly inside a cube is 9 cubic feet. What is the volume of the cube?

(06.04 HC) A figure is located at (2, 0), (2, −2), and (6, 0) on a coordinate plane. What kind of 3-D shape would be created if the figure was rotated around the x-axis? Provide an explanation and proof of your answer to receive full credit. Include the dimensions of the 3-D shape in your explanation.

(06.02 MC) Cylinder A has a radius of 10 inches and a height of 5 inches. Cylinder B has a volume of 750π. What is the percentage change in volume from cylinder A to cylinder B?

(07.03 LC) Circle A has center of (4, 6) and a radius of 5, and circle B has a center of (1, 0) and a radius of 15. What steps will help show that circle A is similar to circle B?

(07.01 MC) Lines CD and DE are tangent to circle A, as shown below: If is 125°, what is the measure of ∠CDE?

(06.04 MC) If a rectangular cross-section with coordinates at (1, 1), (1, 4), (3, 4) and (3, 1) is rotated about the line y = 1, what will be the resulting three-dimensional object?