AnswersSS26 Math 3 S2 M3960OXCavalieri's Principle and Volume of Composite Figures

Cavalieri's Principle and Volume of Composite Figures — Cumulative exam Answers

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A cone is stacked on top of a cylinder. They both share a circular base. The total height of the composite figure is 20. The height of the cylinder is 11 and the diameter is 12.

Question illustration
A
753.6 in.3
B
904.3 in.3
C
1,582.6 in.3
D
1,997.0 in.3
22
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The volume of a solid right pyramid with a square base is V units3 and the length of the base edge is y units.

Question illustration
A
StartFraction 3 V Over y squared EndFraction units
Option A
B
(3 V minus y squared) units
Option B
C
(V minus 3 y squared) units
Option C
D
StartFraction V Over 3 y squared EndFraction units
Option D
23

An oblique cone has a height equal to the diameter of the base. The volume of the cone is equal to 18π cubic units.

Question illustration
A
2 units
B
3 units
C
6 units
D
9 units
24

A solid right pyramid has a square base with an edge length of x cm and a height of y cm.

Question illustration
A
xy cm3
Option A
B
x2y cm3
Option B
C
xy2 cm3
Option C
D
x2y cm3
Option D
25

The oblique prism below has an isosceles right triangle base.

Question illustration
A
x3 + x2
Option A
B
x3 + x2
Option B
C
x3 + x2
D
x3 + 3x2

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