AnswersFoundations of Math 1Introduction to the Volume of a Cone

Introduction to the Volume of a Cone — Quiz Answers

10 verified answers
4

A cone has a height of 7 ft to the th power and a radius of 4 ft to the th power Which equation can find the volume of the cone?

A
cap v is equal to 3 pi open paren 4 squared close paren 7 ft cubed
B
cap v is equal to 3 pi open paren 7 squared close paren 4 ft cubed
C
cap v is equal to 1 third pi open paren 4 squared close paren 7 ft cubed
D
cap v is equal to 1 third pi open paren 7 squared close paren 4 ft cubed
6

A cylinder and a cone have the same base and height. The cylinder can hold about 4 comma 712 cm cubed of sand. Jared says that the cone can hold about 1 comma 178 cm cubed of sand. Which explains whether Jared is correct?

A
Jared is not correct because the cone and the cylinder have the same base and height so the cone holds 4712 thirds almost equal to 1571 cm cubed of sand.
B
Jared is correct because the cone and the cylinder have the same base and height so the cone holds 4712 fourths is equal to 1178 cm cubed of sand.
C
Jared is not correct because the volume of the cone cannot be found without knowing the radius of the base and the height of the cone.
D
Jared is correct because the volume of the cone is less than the volume of the cylinder. The cone holds 4712 minus 1178 is equal to 3534 cm cubed less sand than the cylinder.
8

Jalen says that the height, radius, and diameter of a cone lie entirely on the base of the cone. What is Jalen’s error?

A
The diameter does not lie on the base because it contains a radius of the circle.
B
The height does not lie on the base because it is perpendicular to the base.
C
The base does not contain the height, the radius, or the diameter because it is a circle.
D
The radius does not lie on the base because it contains the center of the base.
10

The volume of a cylinder is 40 ft cubed Which expression represents the volume of a cone with the same base and height as the cylinder?

A
1 third open paren 40 squared close paren ft cubed
B
1 third 40 ft cubed
C
3 open paren 1 over 40 close paren ft cubed
D
3 40 ft cubed

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