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# Analytic Geometry in 3-Dimensions Chapter Exam

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

### Page 1

#### Question 1 1. What is the surface area of a cylinder that is 2 feet high? This cylinder is located on a bridge.

#### Question 2 2. What is the area of the right triangle shown below?

#### Question 3 3. How many parameters does a parametric equation have?

#### Question 4 4. What is the dot product of vector A with an x length of 5 and a y length of 3 with vector B with an x length of 4 and a y length of 2?

#### Question 5 5. What is the area of the circle enclosed by taking a 10 cm by 6 cm sheet and wrapping it so that the short edges touch?

### Page 2

#### Question 6 6. What is the 'y' length of a vector with a beginning point of (1, -2) and an end point of (-3, 4)

#### Question 7 7. What is the surface area of a cylinder with a height of 10 inches and a radius of 3 inches? (Round your answer to the nearest whole number.)

####
Question 8
8.
What is the volume of the cube created by taking two 6* by 2* strips of paper, folding them into thirds, and using each third as a side of the cube?

#### Question 9 9. A vector has both magnitude and...

#### Question 10 10. Which of the following is in the shape of a cylinder?

### Page 3

#### Question 11 11. The path of a car is given by the parametric equations x = t + 3 and y = 2t. What is the position of the car at t = 2?

#### Question 12 12. What is the surface area of a cylinder that is 7 centimeters high and 4 centimeters in radius?

#### Question 13 13. If we begin with an equation such as x^2 + 3y + 4z = 8, how many parametric equations can we expect to end up with?

#### Question 14 14. What is the volume of a cube with an edge length of 6 cm?

#### Question 15 15. What is the volume of a hemisphere with a radius of 3cm?

### Page 4

#### Question 16 16. What is the area of the circle enclosed by taking a 4 cm by 6 cm sheet and wrapping it around a 6 cm tall cylinder?

#### Question 17 17. What is the x length of a vector with a start point of (1, 2) and an end point of (5, 8)?

#### Question 18 18. What is the volume of a box with no lid and all sides of equal length that has a surface area of 125 square meters?

#### Question 19 19. What is the surface area of a cylinder with a height of 4 inches and a radius of 5 inches? (Use π in your calculations rather than 3.14, then round the result to the nearest tenth)

#### Question 20 20. Which of the following is the formula for finding the surface area of a cylinder?

### Page 5

#### Question 21 21. Vector A has a magnitude of 7 and vector B has a magnitude of 4. If the angle between them is 20 degrees, what is the dot product?

#### Question 22 22. What is the volume of a cylinder with a height of 9 inches and a radius of 8 inches? Use 3.14 for π and round to the nearest tenth.

#### Question 23 23. What two dimensions are needed to use the formula for the surface area of a cylinder?

#### Question 24 24. Limiting our parameter does what to our path?

#### Question 25 25. What is the area of the annulus/doughnut shown below?

### Page 6

#### Question 26 26. What is the starting point of a deer that is walking along the path given by the parametric equations x = 3t and y = t^2 + 3?

#### Question 27 27. What is the area of the diamond/kite shown below?

#### Question 28 28. If we want to find the surface area of the inside of a swimming pool with the dimensions 2 m deep x 10 m wide x 30 m long, then why is this surface area different from a rectangular prism with the dimensions 2 m deep x 10 m wide x 30 m long?

####
Question 29
29.
Find the surface area of a cylinder with a radius of 3 inches and a height of 10 inches.

Round to the nearest whole number.

#### Question 30 30. What is the volume of a cylinder with a height of 7 inches and a radius of 3 inches?

#### Analytic Geometry in 3-Dimensions Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!