Cavalieri's Principle and Volume of Composite Figures — Quiz

Question 1

Which expression represents the volume, in cubic units, of the shaded part of the sphere?

Revolt · Accepted Answer

4 thirds pi open paren 10 cubed close paren minus 4 thirds pi open paren 4 cubed close paren

Question 2

Which expressions represent the volume of metal needed, in cubic millimeters, to make the pipe? Choose two correct answers.

Revolt · Accepted Answer

2 comma 100 pi minus 756 pi; 21 pi 10 squared minus 21 pi 6 squared

Question 3

Which expression represents the volume, in cubic units, of the frustum?

Revolt · Accepted Answer

1 third pi open paren 7 point 5 squared close paren 19 minus 1 third pi open paren 3 point 5 squared close paren 8

Question 4

Which expression represents the volume, in cubic units, of the composite figure?

Revolt · Accepted Answer

2 times open bracket 1 third 5 0 point 2 5 2 close bracket

Question 5

Which expression represents the volume, in cubic units, of the composite figure?

Revolt · Accepted Answer

1 third 8 6 6 plus 8 times 6 times 4

Question 6

Which expression represents the volume, in cubic units, of the composite figure?

Revolt · Accepted Answer

4 thirds times pi times open paren 10 cubed close paren plus pi open paren 10 squared close paren 28

Question 7

What is the volume of the composite figure? Use 3 point 1 4 for pi and round the answer to the nearest tenth of a cubic unit.

Revolt · Accepted Answer

1 comma 582 point 6 in. cubed

Question 8

Inside the container there is empty space not taken up by the volleyball. What is the volume of that empty space? Use 3 point 1 4 for pi and round the answer to the nearest cubic inch.

Revolt · Accepted Answer

4 comma 599 in. cubed

Question 9

What is the volume of the frustum? Express the answer in terms of pi

Revolt · Accepted Answer

34 point 8 pi units cubed

Question 10

Therefore, the formula for the volume of the sphere can be derived by writing an expression that represents the volume of

Revolt · Accepted Answer

the solid between the two cones and the cylinder.

Cavalieri's Principle and Volume of Composite Figures — Quiz Answers

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