Finding area and volume using Cavalieri's principle
8th - 12th Grade
•13 Qs
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Finding area and volume using Cavalieri's principle
Quiz
•
Mathematics
•
8th - 12th Grade
•
Medium
+3
Standards-aligned
Celis Llambi
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13 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the radius of a cylinder with volume 300π cm3 and height 12 cm?
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
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.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Based on Cavalieri's Principle, will the two prisms have the same volume?
No, they will not be same. Although the heights are the same, the cross-sections are different shapes.
Yes, the heights of both prisms are the same and they have the same cross-sectional area. Therefore, they will have the same volume.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Determine the exact volume of a sphere with diameter of 12 in.
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the radius of a cylinder with volume 300π cm3 and height 12 cm?
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Determine the approximate height of a cone with volume 124 in3 and radius 7 in.
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the exact volume of the pyramid?
Tags
CCSS.HSG.GMD.A.3
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