Find the lateral area and surface area of the right cylinder. Cylinders – 400pts 6 10
Cylinders – 400pts LA = 120 unit 2 377 unit 2 SA = 192 unit 2 603.2 unit 2
Cylinders – 600pts Find the volume of the right cylinder. 7 12
Cylinders – 600pts 588 unit 3 1847.26 unit 3
Cylinders – 800pts A cylindrical tank needs painting. Its diameter is 30m and its height is 40m. It sits on its base so the bottom will not be painted. We need to put on 2 coats of paint and a gallon covers 50m 2. a. Find the area of the surface to be painted. b. Find the number of gallons of paint needed.
Cylinders – 800pts a. 1425 m 2 4476.8 m 2 b. 180 gallons
Cylinders – 1000pts A cylindrically shaped massive piece of marshmallow is to be covered with chocolate. The marshmallow has a radius of 4 inches and a height of 12 inches. If all surfaces are to be covered with a 1 inch layer of chocolate, how much chocolate is to be used? 4 12
Pyramids – 800pts Find the lateral area and surface area of a right square pyramid. The base is a square. 10 12
Pyramids – 800pts LA = 260 unit 2 SA = 360 unit 2
Pyramids – 1000pts The lateral area of a right square pyramid is 260ft 2. The slant height is 13ft. a. Find the perimeter of the base. b. If the base is a square, find the length of one side of the base. c. Find the height (altitude). d. Find the volume. Hint: draw a picture and add measurements as you do the calculations.
Pyramids – 1000pts a. 40ft b. 10ft c. 12ft d. 400ft 2
Cones – 200pts Find the volume of a right cone with a base of diameter 8m and height of 5m.
Cones – 1000pts The lateral area of a right cone is 60 m 2. The slant height is 10m. a. Find the perimeter of the base. b. If the base is a circle, find the radius. c. Find the height (altitude). d. Find the volume. Hint: draw a picture and add measurements as you do the calculations.
Cones – 1000pts a. 12 m 37.7m b. 6m c. 8m d. 96 m 301.6m
Spheres – 1000pts Superman circles the earth at its equator and flies a distance of 37700km. He flies in a circular path very close to the Earth’s surface. a. Find the radius of the earth. b. Find the Earth’s surface area. c. Find the Earth’s volume. R
Spheres – 1000pts a. 6000km b. 144,000,000 km 2 452,389,342km 2 c. 2.88x10 11 km 3 9.05x10 11 km 3
Multiplication – 200pts Expand (x - 2)(x + 4) and provide the most simplified answer.
Multiplication – 600pts A box has a volume of 400m 3. a. If its length is tripled, what is its new volume? b. If its length is tripled and its width is doubled, what is its new volume? c. If its length is tripled, its width is doubled and its height is quadrupled, what is its new volume?
Multiplication – 600pts a. 1200m 3 b. 2400m 3 c. 9600m 3
Multiplication – 800pts A cube originally has sides of length x. Four is added to its length, three is added to its width and 2 is added to its height. Find the volume of the new box. Provide the most simplified answer.
A double decker ice cream cone is made for one very hungry geometry teacher. It consists of a cone filled with elephant tracks with a scoop of vanilla bean on top and a scoop of mint chip on top of that. What is the volume of ice cream used? Final Jeopardy Height = 5in Diameter = 2in Diameter = 1.5in