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20 questions
Choose the geometric solids to model each object?
cylinder | |||
triangular prism | |||
octagonal prism | |||
cylinder & spheres | |||
cylinder & cone |
Find the volume of the cone. Round your answers to the nearest tenth. Use 3.14 for π.
113.0 in^{3}
37.7 in^{3}
339.1 in^{3}
If there are 100 butterflies in this cube, what is the number of butterflies per cubic cm?
Label each part of the figure.
Find the lateral surface area. Use pi for pi. The diameter is 18. Round to the nearest tenths.
7121.5
1780.4
395.6
197.9
Find the volume of the figure. Round to the nearest tenth.
128.6 units³
1,286.8 units³
401.9 units³
5,144.6 units³
The following figures are cylinders, cones, and spheres. Select the cylinder figures. Select two correct answers.
Identify the solid of revolution generated by revolving the region around the fixed line 𝓁.
A
B
C
D
The cone has a height equal to the cube's (a) . The volume of the cone is (b) the volume of the cube. The volume of a cone is (c) .
If the cylinder has a radius of 4 cm and a height of 10 cm, describe the cross section including dimensions. The cross section is a (a) with h = (b) and b = (c) .
What is the volume of the shape?
83.8 in³
92.6 in³
97.3 in³
86.1 in³
if this triangle is rotated about the x axis, match the correct items below
volume | cone | ||
radius | 6 units | ||
height | 3 units | ||
solid of revolution |
Find the volume of the given sphere.
418.7 cubic ft
3,984.6 cubic ft
4,188.8 cubic ft
4,319.8 cubic ft
Find the surface area of this triangular prism. Note the base is an equilateral triangle.
312 cm^{2}
184 cm^{2}
200 cm^{2}
164 cm^{2}
What is the volume of rectangular pyramid?
660 cm^3
220 cm^3
330 cm^3
110 cm^3
a) Cavalieri’s Principle states that any two objects with the same cross sectional areas and heights must have the same volume.
True
False - the cross sectional areas are not relevant
False - only the slant height is relevant
False - even if they have the same cross sectional areas and heights, they cannot have the same volume.
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