Question 1
Question
Determine the conic formed by the cross section of each double cone:
Answer
-
Circle
-
parabola
-
ellispe
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hyperbola
-
point
Question 2
Question
Label the picture with the correct descriptions below
Answer
-
height
-
radius
-
slant height
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length
-
base
Question 3
Question
If the solids have the same height and the cross-sections by parallel planes have equal areas determine which of the following must be true.
Answer
-
The cone has a greater volume than the pyramid.
-
The pyramid has a greater volume than the cone
-
Both the pyramid and cone have the same volume.
-
There is not enough information to determine a solution.
Question 4
Question
Determine the midpoint and distance using the following points: (-3, 0) and (5, 10)
Midpoint: [blank_start](1,5)[blank_end]
Distance (rounded to the nearest tenth): [blank_start]12.8[blank_end]
Question 5
Question
Determine the area of the shaded region:
A = [blank_start]106[blank_end] square meters
Question 6
Question
Determine the area of the shaded region:
First - what is the area of the square: [blank_start]196[blank_end] squared units
Second - what is the area of the circle (round to the nearest thousandth): [blank_start]153.938[blank_end] squared units
Third - what is the area of the shaded area (round to the nearest thousandth): [blank_start]42.062[blank_end] squared units
Question 7
Question
Determine the area of the shaded region:
First - what is the area of the square: [blank_start]32[blank_end] squared cm
Second - what is the area of the circle (round to the nearest thousandth): [blank_start]50.265[blank_end] squared cm
Third - what is the area of the shaded area (round to the nearest thousandth): [blank_start]18.265[blank_end] squared cm
Question 8
Question
Determine the volume of the following figures in square yds, km, in, and m respectfully. Round answers to the nearest thousandth:
Question 9
Question
Determine the volume of the following figures in square ft, and cm respectfully. Round answers to the nearest thousandth:
Question 10
Question
Fill in the table with the appropriate values. Round answers to the nearest tenth when necessary:
Answer
-
220.6
-
30.9
-
6630.4
-
7.8
-
2.6
-
0.7
-
1800.1
-
4.4
-
150.1
Question 11
Question
When revolved around the y-axis, what solid is formed? [blank_start]cone[blank_end]
What is the height? [blank_start]6[blank_end] units
What is the radius? [blank_start]8[blank_end] units
What is the volume (rounded to the nearest thousandth)? [blank_start]402.124[blank_end] cubic units
Question 12
Question
When revolved around the x-axis, what solid is formed? [blank_start]cylinder[blank_end]
What is the height? [blank_start]2[blank_end] units
What is the radius? [blank_start]6[blank_end] units
What is the volume (rounded to the nearest thousandth)? [blank_start]226.194[blank_end] cubic units